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Simplifying 16(2x + 20) = 40(x + 2) Reorder the terms: 16(20 + 2x) = 40(x + 2) (20 * 16 + 2x * 16) = 40(x + 2) (320 + 32x) = 40(x + 2) Reorder the terms: 320 + 32x = 40(2 + x) 320 + 32x = (2 * 40 + x * 40) 320 + 32x = (80 + 40x) Solving 320 + 32x = 80 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 320 + 32x + -40x = 80 + 40x + -40x Combine like terms: 32x + -40x = -8x 320 + -8x = 80 + 40x + -40x Combine like terms: 40x + -40x = 0 320 + -8x = 80 + 0 320 + -8x = 80 Add '-320' to each side of the equation. 320 + -320 + -8x = 80 + -320 Combine like terms: 320 + -320 = 0 0 + -8x = 80 + -320 -8x = 80 + -320 Combine like terms: 80 + -320 = -240 -8x = -240 Divide each side by '-8'. x = 30 Simplifying x = 30
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