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Simplifying -3x + -4 + 2x + -5 = 5x + 4 + -3x + 5 Reorder the terms: -4 + -5 + -3x + 2x = 5x + 4 + -3x + 5 Combine like terms: -4 + -5 = -9 -9 + -3x + 2x = 5x + 4 + -3x + 5 Combine like terms: -3x + 2x = -1x -9 + -1x = 5x + 4 + -3x + 5 Reorder the terms: -9 + -1x = 4 + 5 + 5x + -3x Combine like terms: 4 + 5 = 9 -9 + -1x = 9 + 5x + -3x Combine like terms: 5x + -3x = 2x -9 + -1x = 9 + 2x Solving -9 + -1x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -1x + -2x = 9 + 2x + -2x Combine like terms: -1x + -2x = -3x -9 + -3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -3x = 9 + 0 -9 + -3x = 9 Add '9' to each side of the equation. -9 + 9 + -3x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 9 + 9 -3x = 9 + 9 Combine like terms: 9 + 9 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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