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Simplifying -6x + -1(-7 + -3x) = -2(3x + -4) -6x + (-7 * -1 + -3x * -1) = -2(3x + -4) -6x + (7 + 3x) = -2(3x + -4) Reorder the terms: 7 + -6x + 3x = -2(3x + -4) Combine like terms: -6x + 3x = -3x 7 + -3x = -2(3x + -4) Reorder the terms: 7 + -3x = -2(-4 + 3x) 7 + -3x = (-4 * -2 + 3x * -2) 7 + -3x = (8 + -6x) Solving 7 + -3x = 8 + -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. 7 + -3x + 6x = 8 + -6x + 6x Combine like terms: -3x + 6x = 3x 7 + 3x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 3x = 8 + 0 7 + 3x = 8 Add '-7' to each side of the equation. 7 + -7 + 3x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 8 + -7 3x = 8 + -7 Combine like terms: 8 + -7 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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