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Simplifying 2x + 8 = 9 + -1(2x + -2) Reorder the terms: 8 + 2x = 9 + -1(2x + -2) Reorder the terms: 8 + 2x = 9 + -1(-2 + 2x) 8 + 2x = 9 + (-2 * -1 + 2x * -1) 8 + 2x = 9 + (2 + -2x) Combine like terms: 9 + 2 = 11 8 + 2x = 11 + -2x Solving 8 + 2x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 2x + 2x = 11 + -2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 4x = 11 + 0 8 + 4x = 11 Add '-8' to each side of the equation. 8 + -8 + 4x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 11 + -8 4x = 11 + -8 Combine like terms: 11 + -8 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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