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Simplifying 2(x + 4) = 5(x + 7) Reorder the terms: 2(4 + x) = 5(x + 7) (4 * 2 + x * 2) = 5(x + 7) (8 + 2x) = 5(x + 7) Reorder the terms: 8 + 2x = 5(7 + x) 8 + 2x = (7 * 5 + x * 5) 8 + 2x = (35 + 5x) Solving 8 + 2x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 2x + -5x = 35 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = 35 + 0 8 + -3x = 35 Add '-8' to each side of the equation. 8 + -8 + -3x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 35 + -8 -3x = 35 + -8 Combine like terms: 35 + -8 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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