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Simplifying 15 + 2(x + -7) = 5x + -24 Reorder the terms: 15 + 2(-7 + x) = 5x + -24 15 + (-7 * 2 + x * 2) = 5x + -24 15 + (-14 + 2x) = 5x + -24 Combine like terms: 15 + -14 = 1 1 + 2x = 5x + -24 Reorder the terms: 1 + 2x = -24 + 5x Solving 1 + 2x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 2x + -5x = -24 + 5x + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -3x = -24 + 0 1 + -3x = -24 Add '-1' to each side of the equation. 1 + -1 + -3x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -24 + -1 -3x = -24 + -1 Combine like terms: -24 + -1 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333
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