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Simplifying 0.5(9x + 18) = -1.5(5x) + -2(3x + 4.5) Reorder the terms: 0.5(18 + 9x) = -1.5(5x) + -2(3x + 4.5) (18 * 0.5 + 9x * 0.5) = -1.5(5x) + -2(3x + 4.5) (9 + 4.5x) = -1.5(5x) + -2(3x + 4.5) Remove parenthesis around (5x) 9 + 4.5x = -1.5 * 5x + -2(3x + 4.5) Multiply -1.5 * 5 9 + 4.5x = -7.5x + -2(3x + 4.5) Reorder the terms: 9 + 4.5x = -7.5x + -2(4.5 + 3x) 9 + 4.5x = -7.5x + (4.5 * -2 + 3x * -2) 9 + 4.5x = -7.5x + (-9 + -6x) Reorder the terms: 9 + 4.5x = -9 + -7.5x + -6x Combine like terms: -7.5x + -6x = -13.5x 9 + 4.5x = -9 + -13.5x Solving 9 + 4.5x = -9 + -13.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.5x' to each side of the equation. 9 + 4.5x + 13.5x = -9 + -13.5x + 13.5x Combine like terms: 4.5x + 13.5x = 18x 9 + 18x = -9 + -13.5x + 13.5x Combine like terms: -13.5x + 13.5x = 0.0 9 + 18x = -9 + 0.0 9 + 18x = -9 Add '-9' to each side of the equation. 9 + -9 + 18x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 18x = -9 + -9 18x = -9 + -9 Combine like terms: -9 + -9 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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