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Simplifying 3(x + -2) + -4x = 3(x + 2) + 2x Reorder the terms: 3(-2 + x) + -4x = 3(x + 2) + 2x (-2 * 3 + x * 3) + -4x = 3(x + 2) + 2x (-6 + 3x) + -4x = 3(x + 2) + 2x Combine like terms: 3x + -4x = -1x -6 + -1x = 3(x + 2) + 2x Reorder the terms: -6 + -1x = 3(2 + x) + 2x -6 + -1x = (2 * 3 + x * 3) + 2x -6 + -1x = (6 + 3x) + 2x Combine like terms: 3x + 2x = 5x -6 + -1x = 6 + 5x Solving -6 + -1x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -1x + -5x = 6 + 5x + -5x Combine like terms: -1x + -5x = -6x -6 + -6x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -6x = 6 + 0 -6 + -6x = 6 Add '6' to each side of the equation. -6 + 6 + -6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 6 + 6 -6x = 6 + 6 Combine like terms: 6 + 6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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