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Simplifying 12(x + 2) = 15(x + -4) + -3 Reorder the terms: 12(2 + x) = 15(x + -4) + -3 (2 * 12 + x * 12) = 15(x + -4) + -3 (24 + 12x) = 15(x + -4) + -3 Reorder the terms: 24 + 12x = 15(-4 + x) + -3 24 + 12x = (-4 * 15 + x * 15) + -3 24 + 12x = (-60 + 15x) + -3 Reorder the terms: 24 + 12x = -60 + -3 + 15x Combine like terms: -60 + -3 = -63 24 + 12x = -63 + 15x Solving 24 + 12x = -63 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + 12x + -15x = -63 + 15x + -15x Combine like terms: 12x + -15x = -3x 24 + -3x = -63 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -3x = -63 + 0 24 + -3x = -63 Add '-24' to each side of the equation. 24 + -24 + -3x = -63 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -63 + -24 -3x = -63 + -24 Combine like terms: -63 + -24 = -87 -3x = -87 Divide each side by '-3'. x = 29 Simplifying x = 29
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