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Simplifying 12x + 15 = 4x + -1 + 10x + -8 Reorder the terms: 15 + 12x = 4x + -1 + 10x + -8 Reorder the terms: 15 + 12x = -1 + -8 + 4x + 10x Combine like terms: -1 + -8 = -9 15 + 12x = -9 + 4x + 10x Combine like terms: 4x + 10x = 14x 15 + 12x = -9 + 14x Solving 15 + 12x = -9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + 12x + -14x = -9 + 14x + -14x Combine like terms: 12x + -14x = -2x 15 + -2x = -9 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -2x = -9 + 0 15 + -2x = -9 Add '-15' to each side of the equation. 15 + -15 + -2x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -9 + -15 -2x = -9 + -15 Combine like terms: -9 + -15 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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