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Simplifying 4(3 + -2x) = 6 + -1(3x + -1) (3 * 4 + -2x * 4) = 6 + -1(3x + -1) (12 + -8x) = 6 + -1(3x + -1) Reorder the terms: 12 + -8x = 6 + -1(-1 + 3x) 12 + -8x = 6 + (-1 * -1 + 3x * -1) 12 + -8x = 6 + (1 + -3x) Combine like terms: 6 + 1 = 7 12 + -8x = 7 + -3x Solving 12 + -8x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -8x + 3x = 7 + -3x + 3x Combine like terms: -8x + 3x = -5x 12 + -5x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -5x = 7 + 0 12 + -5x = 7 Add '-12' to each side of the equation. 12 + -12 + -5x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 7 + -12 -5x = 7 + -12 Combine like terms: 7 + -12 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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