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Simplifying 1 + -2(x + -2) = x + -1(4x + 5) Reorder the terms: 1 + -2(-2 + x) = x + -1(4x + 5) 1 + (-2 * -2 + x * -2) = x + -1(4x + 5) 1 + (4 + -2x) = x + -1(4x + 5) Combine like terms: 1 + 4 = 5 5 + -2x = x + -1(4x + 5) Reorder the terms: 5 + -2x = x + -1(5 + 4x) 5 + -2x = x + (5 * -1 + 4x * -1) 5 + -2x = x + (-5 + -4x) Reorder the terms: 5 + -2x = -5 + x + -4x Combine like terms: x + -4x = -3x 5 + -2x = -5 + -3x Solving 5 + -2x = -5 + -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. 5 + -2x + 3x = -5 + -3x + 3x Combine like terms: -2x + 3x = 1x 5 + 1x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 1x = -5 + 0 5 + 1x = -5 Add '-5' to each side of the equation. 5 + -5 + 1x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -5 + -5 1x = -5 + -5 Combine like terms: -5 + -5 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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