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Simplifying 4x + -1(2x + -5) = 2(2x + 4) Reorder the terms: 4x + -1(-5 + 2x) = 2(2x + 4) 4x + (-5 * -1 + 2x * -1) = 2(2x + 4) 4x + (5 + -2x) = 2(2x + 4) Reorder the terms: 5 + 4x + -2x = 2(2x + 4) Combine like terms: 4x + -2x = 2x 5 + 2x = 2(2x + 4) Reorder the terms: 5 + 2x = 2(4 + 2x) 5 + 2x = (4 * 2 + 2x * 2) 5 + 2x = (8 + 4x) Solving 5 + 2x = 8 + 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. 5 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x 5 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -2x = 8 + 0 5 + -2x = 8 Add '-5' to each side of the equation. 5 + -5 + -2x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 8 + -5 -2x = 8 + -5 Combine like terms: 8 + -5 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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