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Simplifying 4(x + 12) = 2x + 18 Reorder the terms: 4(12 + x) = 2x + 18 (12 * 4 + x * 4) = 2x + 18 (48 + 4x) = 2x + 18 Reorder the terms: 48 + 4x = 18 + 2x Solving 48 + 4x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 48 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 2x = 18 + 0 48 + 2x = 18 Add '-48' to each side of the equation. 48 + -48 + 2x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 18 + -48 2x = 18 + -48 Combine like terms: 18 + -48 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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