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Simplifying 2(x + -6) = 8(x + -3) Reorder the terms: 2(-6 + x) = 8(x + -3) (-6 * 2 + x * 2) = 8(x + -3) (-12 + 2x) = 8(x + -3) Reorder the terms: -12 + 2x = 8(-3 + x) -12 + 2x = (-3 * 8 + x * 8) -12 + 2x = (-24 + 8x) Solving -12 + 2x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 2x + -8x = -24 + 8x + -8x Combine like terms: 2x + -8x = -6x -12 + -6x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -6x = -24 + 0 -12 + -6x = -24 Add '12' to each side of the equation. -12 + 12 + -6x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -24 + 12 -6x = -24 + 12 Combine like terms: -24 + 12 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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