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Simplifying x + 12 = 4(3x + -1) + -2x Reorder the terms: 12 + x = 4(3x + -1) + -2x Reorder the terms: 12 + x = 4(-1 + 3x) + -2x 12 + x = (-1 * 4 + 3x * 4) + -2x 12 + x = (-4 + 12x) + -2x Combine like terms: 12x + -2x = 10x 12 + x = -4 + 10x Solving 12 + x = -4 + 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. 12 + x + -10x = -4 + 10x + -10x Combine like terms: x + -10x = -9x 12 + -9x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -9x = -4 + 0 12 + -9x = -4 Add '-12' to each side of the equation. 12 + -12 + -9x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -4 + -12 -9x = -4 + -12 Combine like terms: -4 + -12 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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