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Simplifying -6(x + 3) = 2(x + 12) Reorder the terms: -6(3 + x) = 2(x + 12) (3 * -6 + x * -6) = 2(x + 12) (-18 + -6x) = 2(x + 12) Reorder the terms: -18 + -6x = 2(12 + x) -18 + -6x = (12 * 2 + x * 2) -18 + -6x = (24 + 2x) Solving -18 + -6x = 24 + 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. -18 + -6x + -2x = 24 + 2x + -2x Combine like terms: -6x + -2x = -8x -18 + -8x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + -8x = 24 + 0 -18 + -8x = 24 Add '18' to each side of the equation. -18 + 18 + -8x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = 24 + 18 -8x = 24 + 18 Combine like terms: 24 + 18 = 42 -8x = 42 Divide each side by '-8'. x = -5.25 Simplifying x = -5.25
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