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Simplifying -2(-5 + 2x) = -3(x + 20) (-5 * -2 + 2x * -2) = -3(x + 20) (10 + -4x) = -3(x + 20) Reorder the terms: 10 + -4x = -3(20 + x) 10 + -4x = (20 * -3 + x * -3) 10 + -4x = (-60 + -3x) Solving 10 + -4x = -60 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + -4x + 3x = -60 + -3x + 3x Combine like terms: -4x + 3x = -1x 10 + -1x = -60 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -1x = -60 + 0 10 + -1x = -60 Add '-10' to each side of the equation. 10 + -10 + -1x = -60 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -60 + -10 -1x = -60 + -10 Combine like terms: -60 + -10 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70
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