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Simplifying -5x + -12 = -3(x + 8) Reorder the terms: -12 + -5x = -3(x + 8) Reorder the terms: -12 + -5x = -3(8 + x) -12 + -5x = (8 * -3 + x * -3) -12 + -5x = (-24 + -3x) Solving -12 + -5x = -24 + -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 + -5x + 3x = -24 + -3x + 3x Combine like terms: -5x + 3x = -2x -12 + -2x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -2x = -24 + 0 -12 + -2x = -24 Add '12' to each side of the equation. -12 + 12 + -2x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -24 + 12 -2x = -24 + 12 Combine like terms: -24 + 12 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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