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Simplifying 5(x + 2) + 3(x + -1) = -9 Reorder the terms: 5(2 + x) + 3(x + -1) = -9 (2 * 5 + x * 5) + 3(x + -1) = -9 (10 + 5x) + 3(x + -1) = -9 Reorder the terms: 10 + 5x + 3(-1 + x) = -9 10 + 5x + (-1 * 3 + x * 3) = -9 10 + 5x + (-3 + 3x) = -9 Reorder the terms: 10 + -3 + 5x + 3x = -9 Combine like terms: 10 + -3 = 7 7 + 5x + 3x = -9 Combine like terms: 5x + 3x = 8x 7 + 8x = -9 Solving 7 + 8x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -9 + -7 8x = -9 + -7 Combine like terms: -9 + -7 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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