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Simplifying 3(2x + -2) = -1(x + -8) Reorder the terms: 3(-2 + 2x) = -1(x + -8) (-2 * 3 + 2x * 3) = -1(x + -8) (-6 + 6x) = -1(x + -8) Reorder the terms: -6 + 6x = -1(-8 + x) -6 + 6x = (-8 * -1 + x * -1) -6 + 6x = (8 + -1x) Solving -6 + 6x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 6x + x = 8 + -1x + x Combine like terms: 6x + x = 7x -6 + 7x = 8 + -1x + x Combine like terms: -1x + x = 0 -6 + 7x = 8 + 0 -6 + 7x = 8 Add '6' to each side of the equation. -6 + 6 + 7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 8 + 6 7x = 8 + 6 Combine like terms: 8 + 6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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