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Simplifying -4(3x + 2) = 3(x + -6) Reorder the terms: -4(2 + 3x) = 3(x + -6) (2 * -4 + 3x * -4) = 3(x + -6) (-8 + -12x) = 3(x + -6) Reorder the terms: -8 + -12x = 3(-6 + x) -8 + -12x = (-6 * 3 + x * 3) -8 + -12x = (-18 + 3x) Solving -8 + -12x = -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. -8 + -12x + -3x = -18 + 3x + -3x Combine like terms: -12x + -3x = -15x -8 + -15x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -15x = -18 + 0 -8 + -15x = -18 Add '8' to each side of the equation. -8 + 8 + -15x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = -18 + 8 -15x = -18 + 8 Combine like terms: -18 + 8 = -10 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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