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Simplifying 3(x + -4) = 2(x + -5) + -5 Reorder the terms: 3(-4 + x) = 2(x + -5) + -5 (-4 * 3 + x * 3) = 2(x + -5) + -5 (-12 + 3x) = 2(x + -5) + -5 Reorder the terms: -12 + 3x = 2(-5 + x) + -5 -12 + 3x = (-5 * 2 + x * 2) + -5 -12 + 3x = (-10 + 2x) + -5 Reorder the terms: -12 + 3x = -10 + -5 + 2x Combine like terms: -10 + -5 = -15 -12 + 3x = -15 + 2x Solving -12 + 3x = -15 + 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. -12 + 3x + -2x = -15 + 2x + -2x Combine like terms: 3x + -2x = 1x -12 + 1x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 1x = -15 + 0 -12 + 1x = -15 Add '12' to each side of the equation. -12 + 12 + 1x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -15 + 12 1x = -15 + 12 Combine like terms: -15 + 12 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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