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Simplifying 12x + 2 + -3x = 10 + -10(x + -2) Reorder the terms: 2 + 12x + -3x = 10 + -10(x + -2) Combine like terms: 12x + -3x = 9x 2 + 9x = 10 + -10(x + -2) Reorder the terms: 2 + 9x = 10 + -10(-2 + x) 2 + 9x = 10 + (-2 * -10 + x * -10) 2 + 9x = 10 + (20 + -10x) Combine like terms: 10 + 20 = 30 2 + 9x = 30 + -10x Solving 2 + 9x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 2 + 9x + 10x = 30 + -10x + 10x Combine like terms: 9x + 10x = 19x 2 + 19x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + 19x = 30 + 0 2 + 19x = 30 Add '-2' to each side of the equation. 2 + -2 + 19x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 19x = 30 + -2 19x = 30 + -2 Combine like terms: 30 + -2 = 28 19x = 28 Divide each side by '19'. x = 1.473684211 Simplifying x = 1.473684211
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