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Simplifying 2(x + 8) = -24 + 7x Reorder the terms: 2(8 + x) = -24 + 7x (8 * 2 + x * 2) = -24 + 7x (16 + 2x) = -24 + 7x Solving 16 + 2x = -24 + 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. 16 + 2x + -7x = -24 + 7x + -7x Combine like terms: 2x + -7x = -5x 16 + -5x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -5x = -24 + 0 16 + -5x = -24 Add '-16' to each side of the equation. 16 + -16 + -5x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = -24 + -16 -5x = -24 + -16 Combine like terms: -24 + -16 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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