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Simplifying 4(x + 2) = 6(x + 12) Reorder the terms: 4(2 + x) = 6(x + 12) (2 * 4 + x * 4) = 6(x + 12) (8 + 4x) = 6(x + 12) Reorder the terms: 8 + 4x = 6(12 + x) 8 + 4x = (12 * 6 + x * 6) 8 + 4x = (72 + 6x) Solving 8 + 4x = 72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x = 72 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = 72 + 0 8 + -2x = 72 Add '-8' to each side of the equation. 8 + -8 + -2x = 72 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 72 + -8 -2x = 72 + -8 Combine like terms: 72 + -8 = 64 -2x = 64 Divide each side by '-2'. x = -32 Simplifying x = -32
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