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Simplifying 8(x + -6) = -1(2x + -2) Reorder the terms: 8(-6 + x) = -1(2x + -2) (-6 * 8 + x * 8) = -1(2x + -2) (-48 + 8x) = -1(2x + -2) Reorder the terms: -48 + 8x = -1(-2 + 2x) -48 + 8x = (-2 * -1 + 2x * -1) -48 + 8x = (2 + -2x) Solving -48 + 8x = 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 + 8x + 2x = 2 + -2x + 2x Combine like terms: 8x + 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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