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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 = 1.5x 9 + 4.5x = -9 + 1.5x Solving 9 + 4.5x = -9 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 9 + 4.5x + -1.5x = -9 + 1.5x + -1.5x Combine like terms: 4.5x + -1.5x = 3x 9 + 3x = -9 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 9 + 3x = -9 + 0.0 9 + 3x = -9 Add '-9' to each side of the equation. 9 + -9 + 3x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -9 + -9 3x = -9 + -9 Combine like terms: -9 + -9 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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