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Simplifying 3(x + 3) + -8(x + 1) = -24 Reorder the terms: 3(3 + x) + -8(x + 1) = -24 (3 * 3 + x * 3) + -8(x + 1) = -24 (9 + 3x) + -8(x + 1) = -24 Reorder the terms: 9 + 3x + -8(1 + x) = -24 9 + 3x + (1 * -8 + x * -8) = -24 9 + 3x + (-8 + -8x) = -24 Reorder the terms: 9 + -8 + 3x + -8x = -24 Combine like terms: 9 + -8 = 1 1 + 3x + -8x = -24 Combine like terms: 3x + -8x = -5x 1 + -5x = -24 Solving 1 + -5x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -24 + -1 -5x = -24 + -1 Combine like terms: -24 + -1 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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