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Simplifying 12x + -2x + 6 + -5x + -4 = 10x + -2x + 8 + -13 Reorder the terms: 6 + -4 + 12x + -2x + -5x = 10x + -2x + 8 + -13 Combine like terms: 6 + -4 = 2 2 + 12x + -2x + -5x = 10x + -2x + 8 + -13 Combine like terms: 12x + -2x = 10x 2 + 10x + -5x = 10x + -2x + 8 + -13 Combine like terms: 10x + -5x = 5x 2 + 5x = 10x + -2x + 8 + -13 Reorder the terms: 2 + 5x = 8 + -13 + 10x + -2x Combine like terms: 8 + -13 = -5 2 + 5x = -5 + 10x + -2x Combine like terms: 10x + -2x = 8x 2 + 5x = -5 + 8x Solving 2 + 5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 5x + -8x = -5 + 8x + -8x Combine like terms: 5x + -8x = -3x 2 + -3x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -3x = -5 + 0 2 + -3x = -5 Add '-2' to each side of the equation. 2 + -2 + -3x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -5 + -2 -3x = -5 + -2 Combine like terms: -5 + -2 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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