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Simplifying 6 + -4(3x + -1) = 7 + -1(12 + -8x) Reorder the terms: 6 + -4(-1 + 3x) = 7 + -1(12 + -8x) 6 + (-1 * -4 + 3x * -4) = 7 + -1(12 + -8x) 6 + (4 + -12x) = 7 + -1(12 + -8x) Combine like terms: 6 + 4 = 10 10 + -12x = 7 + -1(12 + -8x) 10 + -12x = 7 + (12 * -1 + -8x * -1) 10 + -12x = 7 + (-12 + 8x) Combine like terms: 7 + -12 = -5 10 + -12x = -5 + 8x Solving 10 + -12x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -12x + -8x = -5 + 8x + -8x Combine like terms: -12x + -8x = -20x 10 + -20x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -20x = -5 + 0 10 + -20x = -5 Add '-10' to each side of the equation. 10 + -10 + -20x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = -5 + -10 -20x = -5 + -10 Combine like terms: -5 + -10 = -15 -20x = -15 Divide each side by '-20'. x = 0.75 Simplifying x = 0.75
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