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Simplifying 2(x + -6) = -3(x + -5) Reorder the terms: 2(-6 + x) = -3(x + -5) (-6 * 2 + x * 2) = -3(x + -5) (-12 + 2x) = -3(x + -5) Reorder the terms: -12 + 2x = -3(-5 + x) -12 + 2x = (-5 * -3 + x * -3) -12 + 2x = (15 + -3x) Solving -12 + 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. -12 + 2x + 3x = 15 + -3x + 3x Combine like terms: 2x + 3x = 5x -12 + 5x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 5x = 15 + 0 -12 + 5x = 15 Add '12' to each side of the equation. -12 + 12 + 5x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 15 + 12 5x = 15 + 12 Combine like terms: 15 + 12 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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