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Simplifying s = x(20 + -2x) + x(20 + -2x) + x(40 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x) s = (20 * x + -2x * x) + x(20 + -2x) + x(40 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x) s = (20x + -2x2) + x(20 + -2x) + x(40 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x) s = 20x + -2x2 + (20 * x + -2x * x) + x(40 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x) s = 20x + -2x2 + (20x + -2x2) + x(40 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x) s = 20x + -2x2 + 20x + -2x2 + (40 * x + -2x * x) + x(40 + -2x) + (40 + -2x)(20 + -2x) s = 20x + -2x2 + 20x + -2x2 + (40x + -2x2) + x(40 + -2x) + (40 + -2x)(20 + -2x) s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + (40 * x + -2x * x) + (40 + -2x)(20 + -2x) s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + (40x + -2x2) + (40 + -2x)(20 + -2x) Multiply (40 + -2x) * (20 + -2x) s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + 40x + -2x2 + (40(20 + -2x) + -2x * (20 + -2x)) s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + 40x + -2x2 + ((20 * 40 + -2x * 40) + -2x * (20 + -2x)) s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + 40x + -2x2 + ((800 + -80x) + -2x * (20 + -2x)) s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + 40x + -2x2 + (800 + -80x + (20 * -2x + -2x * -2x)) s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + 40x + -2x2 + (800 + -80x + (-40x + 4x2)) Combine like terms: -80x + -40x = -120x s = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + 40x + -2x2 + (800 + -120x + 4x2) Reorder the terms: s = 800 + 20x + 20x + 40x + 40x + -120x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 20x + 20x = 40x s = 800 + 40x + 40x + 40x + -120x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 40x + 40x = 80x s = 800 + 80x + 40x + -120x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 80x + 40x = 120x s = 800 + 120x + -120x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: 120x + -120x = 0 s = 800 + 0 + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 s = 800 + -2x2 + -2x2 + -2x2 + -2x2 + 4x2 Combine like terms: -2x2 + -2x2 = -4x2 s = 800 + -4x2 + -2x2 + -2x2 + 4x2 Combine like terms: -4x2 + -2x2 = -6x2 s = 800 + -6x2 + -2x2 + 4x2 Combine like terms: -6x2 + -2x2 = -8x2 s = 800 + -8x2 + 4x2 Combine like terms: -8x2 + 4x2 = -4x2 s = 800 + -4x2 Solving s = 800 + -4x2 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Simplifying s = 800 + -4x2
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