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Simplifying 2(4 + -5x) = 7 + -5(x + -2) (4 * 2 + -5x * 2) = 7 + -5(x + -2) (8 + -10x) = 7 + -5(x + -2) Reorder the terms: 8 + -10x = 7 + -5(-2 + x) 8 + -10x = 7 + (-2 * -5 + x * -5) 8 + -10x = 7 + (10 + -5x) Combine like terms: 7 + 10 = 17 8 + -10x = 17 + -5x Solving 8 + -10x = 17 + -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. 8 + -10x + 5x = 17 + -5x + 5x Combine like terms: -10x + 5x = -5x 8 + -5x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + -5x = 17 + 0 8 + -5x = 17 Add '-8' to each side of the equation. 8 + -8 + -5x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 17 + -8 -5x = 17 + -8 Combine like terms: 17 + -8 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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