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Simplifying 8(x + -6) = -6 + 2x Reorder the terms: 8(-6 + x) = -6 + 2x (-6 * 8 + x * 8) = -6 + 2x (-48 + 8x) = -6 + 2x Solving -48 + 8x = -6 + 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 = -6 + 2x + -2x Combine like terms: 8x + -2x = 6x -48 + 6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 6x = -6 + 0 -48 + 6x = -6 Add '48' to each side of the equation. -48 + 48 + 6x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -6 + 48 6x = -6 + 48 Combine like terms: -6 + 48 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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