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Simplifying -4(3x + 2) = x + 2(x) Reorder the terms: -4(2 + 3x) = x + 2(x) (2 * -4 + 3x * -4) = x + 2(x) (-8 + -12x) = x + 2(x) Combine like terms: x + 2x = 3x -8 + -12x = 3x Solving -8 + -12x = 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 = 3x + -3x Combine like terms: -12x + -3x = -15x -8 + -15x = 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -15x = 0 Add '8' to each side of the equation. -8 + 8 + -15x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = 0 + 8 -15x = 0 + 8 Combine like terms: 0 + 8 = 8 -15x = 8 Divide each side by '-15'. x = -0.5333333333 Simplifying x = -0.5333333333
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