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Simplifying 5x + 12 + -13x = 12 + -2x + -13 + -1x Reorder the terms: 12 + 5x + -13x = 12 + -2x + -13 + -1x Combine like terms: 5x + -13x = -8x 12 + -8x = 12 + -2x + -13 + -1x Reorder the terms: 12 + -8x = 12 + -13 + -2x + -1x Combine like terms: 12 + -13 = -1 12 + -8x = -1 + -2x + -1x Combine like terms: -2x + -1x = -3x 12 + -8x = -1 + -3x Solving 12 + -8x = -1 + -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 + -8x + 3x = -1 + -3x + 3x Combine like terms: -8x + 3x = -5x 12 + -5x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -5x = -1 + 0 12 + -5x = -1 Add '-12' to each side of the equation. 12 + -12 + -5x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -1 + -12 -5x = -1 + -12 Combine like terms: -1 + -12 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6
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