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Simplifying 2(x + 12) = 4x + -6 Reorder the terms: 2(12 + x) = 4x + -6 (12 * 2 + x * 2) = 4x + -6 (24 + 2x) = 4x + -6 Reorder the terms: 24 + 2x = -6 + 4x Solving 24 + 2x = -6 + 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. 24 + 2x + -4x = -6 + 4x + -4x Combine like terms: 2x + -4x = -2x 24 + -2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -2x = -6 + 0 24 + -2x = -6 Add '-24' to each side of the equation. 24 + -24 + -2x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -6 + -24 -2x = -6 + -24 Combine like terms: -6 + -24 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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