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Simplifying 2(x + 7) = 4(x + 8) Reorder the terms: 2(7 + x) = 4(x + 8) (7 * 2 + x * 2) = 4(x + 8) (14 + 2x) = 4(x + 8) Reorder the terms: 14 + 2x = 4(8 + x) 14 + 2x = (8 * 4 + x * 4) 14 + 2x = (32 + 4x) Solving 14 + 2x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 2x + -4x = 32 + 4x + -4x Combine like terms: 2x + -4x = -2x 14 + -2x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -2x = 32 + 0 14 + -2x = 32 Add '-14' to each side of the equation. 14 + -14 + -2x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 32 + -14 -2x = 32 + -14 Combine like terms: 32 + -14 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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