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