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