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Simplifying 2(6 + -3x) + -4x = 7 + -1(9 + 6x) (6 * 2 + -3x * 2) + -4x = 7 + -1(9 + 6x) (12 + -6x) + -4x = 7 + -1(9 + 6x) Combine like terms: -6x + -4x = -10x 12 + -10x = 7 + -1(9 + 6x) 12 + -10x = 7 + (9 * -1 + 6x * -1) 12 + -10x = 7 + (-9 + -6x) Combine like terms: 7 + -9 = -2 12 + -10x = -2 + -6x Solving 12 + -10x = -2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -10x + 6x = -2 + -6x + 6x Combine like terms: -10x + 6x = -4x 12 + -4x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -4x = -2 + 0 12 + -4x = -2 Add '-12' to each side of the equation. 12 + -12 + -4x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -2 + -12 -4x = -2 + -12 Combine like terms: -2 + -12 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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