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Simplifying 12x + 13 + -2x = 10x + -4 + 9x + -10 Reorder the terms: 13 + 12x + -2x = 10x + -4 + 9x + -10 Combine like terms: 12x + -2x = 10x 13 + 10x = 10x + -4 + 9x + -10 Reorder the terms: 13 + 10x = -4 + -10 + 10x + 9x Combine like terms: -4 + -10 = -14 13 + 10x = -14 + 10x + 9x Combine like terms: 10x + 9x = 19x 13 + 10x = -14 + 19x Solving 13 + 10x = -14 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 13 + 10x + -19x = -14 + 19x + -19x Combine like terms: 10x + -19x = -9x 13 + -9x = -14 + 19x + -19x Combine like terms: 19x + -19x = 0 13 + -9x = -14 + 0 13 + -9x = -14 Add '-13' to each side of the equation. 13 + -13 + -9x = -14 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = -14 + -13 -9x = -14 + -13 Combine like terms: -14 + -13 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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