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Simplifying -1x + 12 + -3x = 5x + -6 Reorder the terms: 12 + -1x + -3x = 5x + -6 Combine like terms: -1x + -3x = -4x 12 + -4x = 5x + -6 Reorder the terms: 12 + -4x = -6 + 5x Solving 12 + -4x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -4x + -5x = -6 + 5x + -5x Combine like terms: -4x + -5x = -9x 12 + -9x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -9x = -6 + 0 12 + -9x = -6 Add '-12' to each side of the equation. 12 + -12 + -9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -6 + -12 -9x = -6 + -12 Combine like terms: -6 + -12 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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