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Simplifying 3x + -1(4x + -8) = 6(x + -1) Reorder the terms: 3x + -1(-8 + 4x) = 6(x + -1) 3x + (-8 * -1 + 4x * -1) = 6(x + -1) 3x + (8 + -4x) = 6(x + -1) Reorder the terms: 8 + 3x + -4x = 6(x + -1) Combine like terms: 3x + -4x = -1x 8 + -1x = 6(x + -1) Reorder the terms: 8 + -1x = 6(-1 + x) 8 + -1x = (-1 * 6 + x * 6) 8 + -1x = (-6 + 6x) Solving 8 + -1x = -6 + 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. 8 + -1x + -6x = -6 + 6x + -6x Combine like terms: -1x + -6x = -7x 8 + -7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -7x = -6 + 0 8 + -7x = -6 Add '-8' to each side of the equation. 8 + -8 + -7x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -6 + -8 -7x = -6 + -8 Combine like terms: -6 + -8 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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