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Simplifying 2(x + -6) + -12 = -3(x + 5) Reorder the terms: 2(-6 + x) + -12 = -3(x + 5) (-6 * 2 + x * 2) + -12 = -3(x + 5) (-12 + 2x) + -12 = -3(x + 5) Reorder the terms: -12 + -12 + 2x = -3(x + 5) Combine like terms: -12 + -12 = -24 -24 + 2x = -3(x + 5) Reorder the terms: -24 + 2x = -3(5 + x) -24 + 2x = (5 * -3 + x * -3) -24 + 2x = (-15 + -3x) Solving -24 + 2x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 2x + 3x = -15 + -3x + 3x Combine like terms: 2x + 3x = 5x -24 + 5x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 5x = -15 + 0 -24 + 5x = -15 Add '24' to each side of the equation. -24 + 24 + 5x = -15 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = -15 + 24 5x = -15 + 24 Combine like terms: -15 + 24 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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