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Simplifying 0.5(10 + -9x) = 7 + -3(3x + 5) (10 * 0.5 + -9x * 0.5) = 7 + -3(3x + 5) (5 + -4.5x) = 7 + -3(3x + 5) Reorder the terms: 5 + -4.5x = 7 + -3(5 + 3x) 5 + -4.5x = 7 + (5 * -3 + 3x * -3) 5 + -4.5x = 7 + (-15 + -9x) Combine like terms: 7 + -15 = -8 5 + -4.5x = -8 + -9x Solving 5 + -4.5x = -8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + -4.5x + 9x = -8 + -9x + 9x Combine like terms: -4.5x + 9x = 4.5x 5 + 4.5x = -8 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 4.5x = -8 + 0 5 + 4.5x = -8 Add '-5' to each side of the equation. 5 + -5 + 4.5x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 4.5x = -8 + -5 4.5x = -8 + -5 Combine like terms: -8 + -5 = -13 4.5x = -13 Divide each side by '4.5'. x = -2.888888889 Simplifying x = -2.888888889
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