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Simplifying 12x + 10x + -3 + 4 = 8x + -13 Reorder the terms: -3 + 4 + 12x + 10x = 8x + -13 Combine like terms: -3 + 4 = 1 1 + 12x + 10x = 8x + -13 Combine like terms: 12x + 10x = 22x 1 + 22x = 8x + -13 Reorder the terms: 1 + 22x = -13 + 8x Solving 1 + 22x = -13 + 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. 1 + 22x + -8x = -13 + 8x + -8x Combine like terms: 22x + -8x = 14x 1 + 14x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + 14x = -13 + 0 1 + 14x = -13 Add '-1' to each side of the equation. 1 + -1 + 14x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = -13 + -1 14x = -13 + -1 Combine like terms: -13 + -1 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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