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Simplifying (4 + -2x) + -1(x + -5) = 2x + -1 Remove parenthesis around (4 + -2x) 4 + -2x + -1(x + -5) = 2x + -1 Reorder the terms: 4 + -2x + -1(-5 + x) = 2x + -1 4 + -2x + (-5 * -1 + x * -1) = 2x + -1 4 + -2x + (5 + -1x) = 2x + -1 Reorder the terms: 4 + 5 + -2x + -1x = 2x + -1 Combine like terms: 4 + 5 = 9 9 + -2x + -1x = 2x + -1 Combine like terms: -2x + -1x = -3x 9 + -3x = 2x + -1 Reorder the terms: 9 + -3x = -1 + 2x Solving 9 + -3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + -3x + -2x = -1 + 2x + -2x Combine like terms: -3x + -2x = -5x 9 + -5x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -5x = -1 + 0 9 + -5x = -1 Add '-9' to each side of the equation. 9 + -9 + -5x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -1 + -9 -5x = -1 + -9 Combine like terms: -1 + -9 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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