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Simplifying 4x + 5 = 8 + -1(2x + -2) Reorder the terms: 5 + 4x = 8 + -1(2x + -2) Reorder the terms: 5 + 4x = 8 + -1(-2 + 2x) 5 + 4x = 8 + (-2 * -1 + 2x * -1) 5 + 4x = 8 + (2 + -2x) Combine like terms: 8 + 2 = 10 5 + 4x = 10 + -2x Solving 5 + 4x = 10 + -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. 5 + 4x + 2x = 10 + -2x + 2x Combine like terms: 4x + 2x = 6x 5 + 6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 6x = 10 + 0 5 + 6x = 10 Add '-5' to each side of the equation. 5 + -5 + 6x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 10 + -5 6x = 10 + -5 Combine like terms: 10 + -5 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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