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Simplifying -4(x + 6) + 2x = 3(x + 2) Reorder the terms: -4(6 + x) + 2x = 3(x + 2) (6 * -4 + x * -4) + 2x = 3(x + 2) (-24 + -4x) + 2x = 3(x + 2) Combine like terms: -4x + 2x = -2x -24 + -2x = 3(x + 2) Reorder the terms: -24 + -2x = 3(2 + x) -24 + -2x = (2 * 3 + x * 3) -24 + -2x = (6 + 3x) Solving -24 + -2x = 6 + 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. -24 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x -24 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -5x = 6 + 0 -24 + -5x = 6 Add '24' to each side of the equation. -24 + 24 + -5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 6 + 24 -5x = 6 + 24 Combine like terms: 6 + 24 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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