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Simplifying 0.3(6x + 9) = 5x + -15 Reorder the terms: 0.3(9 + 6x) = 5x + -15 (9 * 0.3 + 6x * 0.3) = 5x + -15 (2.7 + 1.8x) = 5x + -15 Reorder the terms: 2.7 + 1.8x = -15 + 5x Solving 2.7 + 1.8x = -15 + 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. 2.7 + 1.8x + -5x = -15 + 5x + -5x Combine like terms: 1.8x + -5x = -3.2x 2.7 + -3.2x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 2.7 + -3.2x = -15 + 0 2.7 + -3.2x = -15 Add '-2.7' to each side of the equation. 2.7 + -2.7 + -3.2x = -15 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -3.2x = -15 + -2.7 -3.2x = -15 + -2.7 Combine like terms: -15 + -2.7 = -17.7 -3.2x = -17.7 Divide each side by '-3.2'. x = 5.53125 Simplifying x = 5.53125
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