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