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Simplifying 6(2x + 8) = 2(x + -1) Reorder the terms: 6(8 + 2x) = 2(x + -1) (8 * 6 + 2x * 6) = 2(x + -1) (48 + 12x) = 2(x + -1) Reorder the terms: 48 + 12x = 2(-1 + x) 48 + 12x = (-1 * 2 + x * 2) 48 + 12x = (-2 + 2x) Solving 48 + 12x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 12x + -2x = -2 + 2x + -2x Combine like terms: 12x + -2x = 10x 48 + 10x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 10x = -2 + 0 48 + 10x = -2 Add '-48' to each side of the equation. 48 + -48 + 10x = -2 + -48 Combine like terms: 48 + -48 = 0 0 + 10x = -2 + -48 10x = -2 + -48 Combine like terms: -2 + -48 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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