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Simplifying s = x(40 + -2x) + x(40 + -2x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x) s = (40 * x + -2x * x) + x(40 + -2x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x) s = (40x + -2x2) + x(40 + -2x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x) s = 40x + -2x2 + (40 * x + -2x * x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x) s = 40x + -2x2 + (40x + -2x2) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x) s = 40x + -2x2 + 40x + -2x2 + (80 * x + -2x * x) + x(80 + -2x) + (40 + -2x)(80 + -2x) s = 40x + -2x2 + 40x + -2x2 + (80x + -2x2) + x(80 + -2x) + (40 + -2x)(80 + -2x) s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + (80 * x + -2x * x) + (40 + -2x)(80 + -2x) s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + (80x + -2x2) + (40 + -2x)(80 + -2x) Multiply (40 + -2x) * (80 + -2x) s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (40(80 + -2x) + -2x * (80 + -2x)) s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + ((80 * 40 + -2x * 40) + -2x * (80 + -2x)) s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + ((3200 + -80x) + -2x * (80 + -2x)) s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (3200 + -80x + (80 * -2x + -2x * -2x)) s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (3200 + -80x + (-160x + 4x2)) Combine like terms: -80x + -160x = -240x s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (3200 + -240x + 4x2) Reorder the terms: s = 3200 + 40x + 40x + 80x + 80x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 40x + 40x = 80x s = 3200 + 80x + 80x + 80x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 80x + 80x = 160x s = 3200 + 160x + 80x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 160x + 80x = 240x s = 3200 + 240x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 240x + -240x = 0 s = 3200 + 0 + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 s = 3200 + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: -2x2 + -2x2 = -4x2 s = 3200 + -4x2 + -2x2 + -2x2 + 4x2 Combine like terms: -4x2 + -2x2 = -6x2 s = 3200 + -6x2 + -2x2 + 4x2 Combine like terms: -6x2 + -2x2 = -8x2 s = 3200 + -8x2 + 4x2 Combine like terms: -8x2 + 4x2 = -4x2 s = 3200 + -4x2 Solving s = 3200 + -4x2 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Simplifying s = 3200 + -4x2
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