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Simplifying 5x + 12 + -3x = -12x + -13 + -1x Reorder the terms: 12 + 5x + -3x = -12x + -13 + -1x Combine like terms: 5x + -3x = 2x 12 + 2x = -12x + -13 + -1x Reorder the terms: 12 + 2x = -13 + -12x + -1x Combine like terms: -12x + -1x = -13x 12 + 2x = -13 + -13x Solving 12 + 2x = -13 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 12 + 2x + 13x = -13 + -13x + 13x Combine like terms: 2x + 13x = 15x 12 + 15x = -13 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 15x = -13 + 0 12 + 15x = -13 Add '-12' to each side of the equation. 12 + -12 + 15x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = -13 + -12 15x = -13 + -12 Combine like terms: -13 + -12 = -25 15x = -25 Divide each side by '15'. x = -1.666666667 Simplifying x = -1.666666667
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