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Simplifying 3(x + -2) + -4x = -3(x + 2) + 2 Reorder the terms: 3(-2 + x) + -4x = -3(x + 2) + 2 (-2 * 3 + x * 3) + -4x = -3(x + 2) + 2 (-6 + 3x) + -4x = -3(x + 2) + 2 Combine like terms: 3x + -4x = -1x -6 + -1x = -3(x + 2) + 2 Reorder the terms: -6 + -1x = -3(2 + x) + 2 -6 + -1x = (2 * -3 + x * -3) + 2 -6 + -1x = (-6 + -3x) + 2 Reorder the terms: -6 + -1x = -6 + 2 + -3x Combine like terms: -6 + 2 = -4 -6 + -1x = -4 + -3x Solving -6 + -1x = -4 + -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. -6 + -1x + 3x = -4 + -3x + 3x Combine like terms: -1x + 3x = 2x -6 + 2x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 2x = -4 + 0 -6 + 2x = -4 Add '6' to each side of the equation. -6 + 6 + 2x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -4 + 6 2x = -4 + 6 Combine like terms: -4 + 6 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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