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Simplifying 5x + -2x + 1 = 8x + 11 Reorder the terms: 1 + 5x + -2x = 8x + 11 Combine like terms: 5x + -2x = 3x 1 + 3x = 8x + 11 Reorder the terms: 1 + 3x = 11 + 8x Solving 1 + 3x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 3x + -8x = 11 + 8x + -8x Combine like terms: 3x + -8x = -5x 1 + -5x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -5x = 11 + 0 1 + -5x = 11 Add '-1' to each side of the equation. 1 + -1 + -5x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 11 + -1 -5x = 11 + -1 Combine like terms: 11 + -1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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