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Simplifying -2(3x + 8) = 3(x + -6) Reorder the terms: -2(8 + 3x) = 3(x + -6) (8 * -2 + 3x * -2) = 3(x + -6) (-16 + -6x) = 3(x + -6) Reorder the terms: -16 + -6x = 3(-6 + x) -16 + -6x = (-6 * 3 + x * 3) -16 + -6x = (-18 + 3x) Solving -16 + -6x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + -6x + -3x = -18 + 3x + -3x Combine like terms: -6x + -3x = -9x -16 + -9x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -9x = -18 + 0 -16 + -9x = -18 Add '16' to each side of the equation. -16 + 16 + -9x = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = -18 + 16 -9x = -18 + 16 Combine like terms: -18 + 16 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222
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