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Simplifying 2(x + 2) = 7(x + -1) + 24 Reorder the terms: 2(2 + x) = 7(x + -1) + 24 (2 * 2 + x * 2) = 7(x + -1) + 24 (4 + 2x) = 7(x + -1) + 24 Reorder the terms: 4 + 2x = 7(-1 + x) + 24 4 + 2x = (-1 * 7 + x * 7) + 24 4 + 2x = (-7 + 7x) + 24 Reorder the terms: 4 + 2x = -7 + 24 + 7x Combine like terms: -7 + 24 = 17 4 + 2x = 17 + 7x Solving 4 + 2x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 2x + -7x = 17 + 7x + -7x Combine like terms: 2x + -7x = -5x 4 + -5x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -5x = 17 + 0 4 + -5x = 17 Add '-4' to each side of the equation. 4 + -4 + -5x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 17 + -4 -5x = 17 + -4 Combine like terms: 17 + -4 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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