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Simplifying 2(x + 8) = 7(x + -2) Reorder the terms: 2(8 + x) = 7(x + -2) (8 * 2 + x * 2) = 7(x + -2) (16 + 2x) = 7(x + -2) Reorder the terms: 16 + 2x = 7(-2 + x) 16 + 2x = (-2 * 7 + x * 7) 16 + 2x = (-14 + 7x) Solving 16 + 2x = -14 + 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 = -14 + 7x + -7x Combine like terms: 2x + -7x = -5x 16 + -5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -5x = -14 + 0 16 + -5x = -14 Add '-16' to each side of the equation. 16 + -16 + -5x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = -14 + -16 -5x = -14 + -16 Combine like terms: -14 + -16 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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