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Simplifying 10x + 2 = 15x + -12 + -3x Reorder the terms: 2 + 10x = 15x + -12 + -3x Reorder the terms: 2 + 10x = -12 + 15x + -3x Combine like terms: 15x + -3x = 12x 2 + 10x = -12 + 12x Solving 2 + 10x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 10x + -12x = -12 + 12x + -12x Combine like terms: 10x + -12x = -2x 2 + -2x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -2x = -12 + 0 2 + -2x = -12 Add '-2' to each side of the equation. 2 + -2 + -2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -12 + -2 -2x = -12 + -2 Combine like terms: -12 + -2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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