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Simplifying 6 + 2x + -5 = 8x + 22 + -3x Reorder the terms: 6 + -5 + 2x = 8x + 22 + -3x Combine like terms: 6 + -5 = 1 1 + 2x = 8x + 22 + -3x Reorder the terms: 1 + 2x = 22 + 8x + -3x Combine like terms: 8x + -3x = 5x 1 + 2x = 22 + 5x Solving 1 + 2x = 22 + 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 + 2x + -5x = 22 + 5x + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -3x = 22 + 0 1 + -3x = 22 Add '-1' to each side of the equation. 1 + -1 + -3x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 22 + -1 -3x = 22 + -1 Combine like terms: 22 + -1 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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