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Simplifying 3(x + -5) = 2(x + -6) Reorder the terms: 3(-5 + x) = 2(x + -6) (-5 * 3 + x * 3) = 2(x + -6) (-15 + 3x) = 2(x + -6) Reorder the terms: -15 + 3x = 2(-6 + x) -15 + 3x = (-6 * 2 + x * 2) -15 + 3x = (-12 + 2x) Solving -15 + 3x = -12 + 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. -15 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x -15 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 1x = -12 + 0 -15 + 1x = -12 Add '15' to each side of the equation. -15 + 15 + 1x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -12 + 15 1x = -12 + 15 Combine like terms: -12 + 15 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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