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Simplifying 2x + 8 = 9 + -1(3x + -2) Reorder the terms: 8 + 2x = 9 + -1(3x + -2) Reorder the terms: 8 + 2x = 9 + -1(-2 + 3x) 8 + 2x = 9 + (-2 * -1 + 3x * -1) 8 + 2x = 9 + (2 + -3x) Combine like terms: 9 + 2 = 11 8 + 2x = 11 + -3x Solving 8 + 2x = 11 + -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. 8 + 2x + 3x = 11 + -3x + 3x Combine like terms: 2x + 3x = 5x 8 + 5x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 5x = 11 + 0 8 + 5x = 11 Add '-8' to each side of the equation. 8 + -8 + 5x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 11 + -8 5x = 11 + -8 Combine like terms: 11 + -8 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6
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