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Simplifying 0.5(6x + 18) = 0.3(9x + 27) Reorder the terms: 0.5(18 + 6x) = 0.3(9x + 27) (18 * 0.5 + 6x * 0.5) = 0.3(9x + 27) (9 + 3x) = 0.3(9x + 27) Reorder the terms: 9 + 3x = 0.3(27 + 9x) 9 + 3x = (27 * 0.3 + 9x * 0.3) 9 + 3x = (8.1 + 2.7x) Solving 9 + 3x = 8.1 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 9 + 3x + -2.7x = 8.1 + 2.7x + -2.7x Combine like terms: 3x + -2.7x = 0.3x 9 + 0.3x = 8.1 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 9 + 0.3x = 8.1 + 0.0 9 + 0.3x = 8.1 Add '-9' to each side of the equation. 9 + -9 + 0.3x = 8.1 + -9 Combine like terms: 9 + -9 = 0 0 + 0.3x = 8.1 + -9 0.3x = 8.1 + -9 Combine like terms: 8.1 + -9 = -0.9 0.3x = -0.9 Divide each side by '0.3'. x = -3 Simplifying x = -3
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