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Simplifying -4(x + 3) = 2(x + 2) Reorder the terms: -4(3 + x) = 2(x + 2) (3 * -4 + x * -4) = 2(x + 2) (-12 + -4x) = 2(x + 2) Reorder the terms: -12 + -4x = 2(2 + x) -12 + -4x = (2 * 2 + x * 2) -12 + -4x = (4 + 2x) Solving -12 + -4x = 4 + 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. -12 + -4x + -2x = 4 + 2x + -2x Combine like terms: -4x + -2x = -6x -12 + -6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -6x = 4 + 0 -12 + -6x = 4 Add '12' to each side of the equation. -12 + 12 + -6x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 4 + 12 -6x = 4 + 12 Combine like terms: 4 + 12 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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