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Simplifying 5x + 12 + -3x = 2x + -13 + -1x Reorder the terms: 12 + 5x + -3x = 2x + -13 + -1x Combine like terms: 5x + -3x = 2x 12 + 2x = 2x + -13 + -1x Reorder the terms: 12 + 2x = -13 + 2x + -1x Combine like terms: 2x + -1x = 1x 12 + 2x = -13 + 1x Solving 12 + 2x = -13 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 2x + -1x = -13 + 1x + -1x Combine like terms: 2x + -1x = 1x 12 + 1x = -13 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 1x = -13 + 0 12 + 1x = -13 Add '-12' to each side of the equation. 12 + -12 + 1x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -13 + -12 1x = -13 + -12 Combine like terms: -13 + -12 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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