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Simplifying 0.6(0.15 + -0.2x) = 0.6(0.3x + 0.9) (0.15 * 0.6 + -0.2x * 0.6) = 0.6(0.3x + 0.9) (0.09 + -0.12x) = 0.6(0.3x + 0.9) Reorder the terms: 0.09 + -0.12x = 0.6(0.9 + 0.3x) 0.09 + -0.12x = (0.9 * 0.6 + 0.3x * 0.6) 0.09 + -0.12x = (0.54 + 0.18x) Solving 0.09 + -0.12x = 0.54 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 0.09 + -0.12x + -0.18x = 0.54 + 0.18x + -0.18x Combine like terms: -0.12x + -0.18x = -0.3x 0.09 + -0.3x = 0.54 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 0.09 + -0.3x = 0.54 + 0.00 0.09 + -0.3x = 0.54 Add '-0.09' to each side of the equation. 0.09 + -0.09 + -0.3x = 0.54 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + -0.3x = 0.54 + -0.09 -0.3x = 0.54 + -0.09 Combine like terms: 0.54 + -0.09 = 0.45 -0.3x = 0.45 Divide each side by '-0.3'. x = -1.5 Simplifying x = -1.5
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