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Simplifying 2(x + 4) = 4(x + 12) Reorder the terms: 2(4 + x) = 4(x + 12) (4 * 2 + x * 2) = 4(x + 12) (8 + 2x) = 4(x + 12) Reorder the terms: 8 + 2x = 4(12 + x) 8 + 2x = (12 * 4 + x * 4) 8 + 2x = (48 + 4x) Solving 8 + 2x = 48 + 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. 8 + 2x + -4x = 48 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 48 + 0 8 + -2x = 48 Add '-8' to each side of the equation. 8 + -8 + -2x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 48 + -8 -2x = 48 + -8 Combine like terms: 48 + -8 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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