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Simplifying 2(x + 4) = 3(x + 7) Reorder the terms: 2(4 + x) = 3(x + 7) (4 * 2 + x * 2) = 3(x + 7) (8 + 2x) = 3(x + 7) Reorder the terms: 8 + 2x = 3(7 + x) 8 + 2x = (7 * 3 + x * 3) 8 + 2x = (21 + 3x) Solving 8 + 2x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 2x + -3x = 21 + 3x + -3x Combine like terms: 2x + -3x = -1x 8 + -1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -1x = 21 + 0 8 + -1x = 21 Add '-8' to each side of the equation. 8 + -8 + -1x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 21 + -8 -1x = 21 + -8 Combine like terms: 21 + -8 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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