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Simplifying -4(x + -2) + 3(x + 1) = 9 Reorder the terms: -4(-2 + x) + 3(x + 1) = 9 (-2 * -4 + x * -4) + 3(x + 1) = 9 (8 + -4x) + 3(x + 1) = 9 Reorder the terms: 8 + -4x + 3(1 + x) = 9 8 + -4x + (1 * 3 + x * 3) = 9 8 + -4x + (3 + 3x) = 9 Reorder the terms: 8 + 3 + -4x + 3x = 9 Combine like terms: 8 + 3 = 11 11 + -4x + 3x = 9 Combine like terms: -4x + 3x = -1x 11 + -1x = 9 Solving 11 + -1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 9 + -11 -1x = 9 + -11 Combine like terms: 9 + -11 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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