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Simplifying 0.5(10 + -9x) = 7 + -1(3x + 5) (10 * 0.5 + -9x * 0.5) = 7 + -1(3x + 5) (5 + -4.5x) = 7 + -1(3x + 5) Reorder the terms: 5 + -4.5x = 7 + -1(5 + 3x) 5 + -4.5x = 7 + (5 * -1 + 3x * -1) 5 + -4.5x = 7 + (-5 + -3x) Combine like terms: 7 + -5 = 2 5 + -4.5x = 2 + -3x Solving 5 + -4.5x = 2 + -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. 5 + -4.5x + 3x = 2 + -3x + 3x Combine like terms: -4.5x + 3x = -1.5x 5 + -1.5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + -1.5x = 2 + 0 5 + -1.5x = 2 Add '-5' to each side of the equation. 5 + -5 + -1.5x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5x = 2 + -5 -1.5x = 2 + -5 Combine like terms: 2 + -5 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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