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Simplifying 0.6(3x + 18) = 5x + -9 Reorder the terms: 0.6(18 + 3x) = 5x + -9 (18 * 0.6 + 3x * 0.6) = 5x + -9 (10.8 + 1.8x) = 5x + -9 Reorder the terms: 10.8 + 1.8x = -9 + 5x Solving 10.8 + 1.8x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10.8 + 1.8x + -5x = -9 + 5x + -5x Combine like terms: 1.8x + -5x = -3.2x 10.8 + -3.2x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 10.8 + -3.2x = -9 + 0 10.8 + -3.2x = -9 Add '-10.8' to each side of the equation. 10.8 + -10.8 + -3.2x = -9 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -3.2x = -9 + -10.8 -3.2x = -9 + -10.8 Combine like terms: -9 + -10.8 = -19.8 -3.2x = -19.8 Divide each side by '-3.2'. x = 6.1875 Simplifying x = 6.1875
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