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Simplifying 5 + -3x + 4x + -6 = 8x + -5x + -9 Reorder the terms: 5 + -6 + -3x + 4x = 8x + -5x + -9 Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = 8x + -5x + -9 Combine like terms: -3x + 4x = 1x -1 + 1x = 8x + -5x + -9 Reorder the terms: -1 + 1x = -9 + 8x + -5x Combine like terms: 8x + -5x = 3x -1 + 1x = -9 + 3x Solving -1 + 1x = -9 + 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. -1 + 1x + -3x = -9 + 3x + -3x Combine like terms: 1x + -3x = -2x -1 + -2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -2x = -9 + 0 -1 + -2x = -9 Add '1' to each side of the equation. -1 + 1 + -2x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -9 + 1 -2x = -9 + 1 Combine like terms: -9 + 1 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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