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Simplifying 10 + 3(4 + -6x) = -1(6x + -12) 10 + (4 * 3 + -6x * 3) = -1(6x + -12) 10 + (12 + -18x) = -1(6x + -12) Combine like terms: 10 + 12 = 22 22 + -18x = -1(6x + -12) Reorder the terms: 22 + -18x = -1(-12 + 6x) 22 + -18x = (-12 * -1 + 6x * -1) 22 + -18x = (12 + -6x) Solving 22 + -18x = 12 + -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. 22 + -18x + 6x = 12 + -6x + 6x Combine like terms: -18x + 6x = -12x 22 + -12x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 22 + -12x = 12 + 0 22 + -12x = 12 Add '-22' to each side of the equation. 22 + -22 + -12x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = 12 + -22 -12x = 12 + -22 Combine like terms: 12 + -22 = -10 -12x = -10 Divide each side by '-12'. x = 0.8333333333 Simplifying x = 0.8333333333
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