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Simplifying 8(x + -6) = 2(x + 6) Reorder the terms: 8(-6 + x) = 2(x + 6) (-6 * 8 + x * 8) = 2(x + 6) (-48 + 8x) = 2(x + 6) Reorder the terms: -48 + 8x = 2(6 + x) -48 + 8x = (6 * 2 + x * 2) -48 + 8x = (12 + 2x) Solving -48 + 8x = 12 + 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 = 12 + 2x + -2x Combine like terms: 8x + -2x = 6x -48 + 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 6x = 12 + 0 -48 + 6x = 12 Add '48' to each side of the equation. -48 + 48 + 6x = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 12 + 48 6x = 12 + 48 Combine like terms: 12 + 48 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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