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Simplifying 2(x + 4) + -3(x + -1) = 9 Reorder the terms: 2(4 + x) + -3(x + -1) = 9 (4 * 2 + x * 2) + -3(x + -1) = 9 (8 + 2x) + -3(x + -1) = 9 Reorder the terms: 8 + 2x + -3(-1 + x) = 9 8 + 2x + (-1 * -3 + x * -3) = 9 8 + 2x + (3 + -3x) = 9 Reorder the terms: 8 + 3 + 2x + -3x = 9 Combine like terms: 8 + 3 = 11 11 + 2x + -3x = 9 Combine like terms: 2x + -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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