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Simplifying 2(x + 7) + -3(x + 1) = 24 Reorder the terms: 2(7 + x) + -3(x + 1) = 24 (7 * 2 + x * 2) + -3(x + 1) = 24 (14 + 2x) + -3(x + 1) = 24 Reorder the terms: 14 + 2x + -3(1 + x) = 24 14 + 2x + (1 * -3 + x * -3) = 24 14 + 2x + (-3 + -3x) = 24 Reorder the terms: 14 + -3 + 2x + -3x = 24 Combine like terms: 14 + -3 = 11 11 + 2x + -3x = 24 Combine like terms: 2x + -3x = -1x 11 + -1x = 24 Solving 11 + -1x = 24 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 = 24 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 24 + -11 -1x = 24 + -11 Combine like terms: 24 + -11 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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