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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 = -31 4 + 2x = -31 + 7x Solving 4 + 2x = -31 + 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 = -31 + 7x + -7x Combine like terms: 2x + -7x = -5x 4 + -5x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -5x = -31 + 0 4 + -5x = -31 Add '-4' to each side of the equation. 4 + -4 + -5x = -31 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -31 + -4 -5x = -31 + -4 Combine like terms: -31 + -4 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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