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Simplifying x + 2(80 + -1x) = 100 + -4(25 + -1x) x + (80 * 2 + -1x * 2) = 100 + -4(25 + -1x) x + (160 + -2x) = 100 + -4(25 + -1x) Reorder the terms: 160 + x + -2x = 100 + -4(25 + -1x) Combine like terms: x + -2x = -1x 160 + -1x = 100 + -4(25 + -1x) 160 + -1x = 100 + (25 * -4 + -1x * -4) 160 + -1x = 100 + (-100 + 4x) Combine like terms: 100 + -100 = 0 160 + -1x = 0 + 4x 160 + -1x = 4x Solving 160 + -1x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 160 + -1x + -4x = 4x + -4x Combine like terms: -1x + -4x = -5x 160 + -5x = 4x + -4x Combine like terms: 4x + -4x = 0 160 + -5x = 0 Add '-160' to each side of the equation. 160 + -160 + -5x = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -5x = 0 + -160 -5x = 0 + -160 Combine like terms: 0 + -160 = -160 -5x = -160 Divide each side by '-5'. x = 32 Simplifying x = 32
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