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Simplifying 5 + -3x + 4x + -6 = 8x + 11 + -3x + 6 Reorder the terms: 5 + -6 + -3x + 4x = 8x + 11 + -3x + 6 Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = 8x + 11 + -3x + 6 Combine like terms: -3x + 4x = 1x -1 + 1x = 8x + 11 + -3x + 6 Reorder the terms: -1 + 1x = 11 + 6 + 8x + -3x Combine like terms: 11 + 6 = 17 -1 + 1x = 17 + 8x + -3x Combine like terms: 8x + -3x = 5x -1 + 1x = 17 + 5x Solving -1 + 1x = 17 + 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. -1 + 1x + -5x = 17 + 5x + -5x Combine like terms: 1x + -5x = -4x -1 + -4x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x = 17 + 0 -1 + -4x = 17 Add '1' to each side of the equation. -1 + 1 + -4x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 17 + 1 -4x = 17 + 1 Combine like terms: 17 + 1 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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