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Simplifying 0.3(0.4 + 0.5) + -0.2 = x + 0.15 + -0.6 Combine like terms: 0.4 + 0.5 = 0.9 0.3(0.9) + -0.2 = x + 0.15 + -0.6 Multiply 0.3 * 0.9 0.27 + -0.2 = x + 0.15 + -0.6 Combine like terms: 0.27 + -0.2 = 0.07 0.07 = x + 0.15 + -0.6 Reorder the terms: 0.07 = 0.15 + -0.6 + x Combine like terms: 0.15 + -0.6 = -0.45 0.07 = -0.45 + x Solving 0.07 = -0.45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.07 + -1x = -0.45 + x + -1x Combine like terms: x + -1x = 0 0.07 + -1x = -0.45 + 0 0.07 + -1x = -0.45 Add '-0.07' to each side of the equation. 0.07 + -0.07 + -1x = -0.45 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + -1x = -0.45 + -0.07 -1x = -0.45 + -0.07 Combine like terms: -0.45 + -0.07 = -0.52 -1x = -0.52 Divide each side by '-1'. x = 0.52 Simplifying x = 0.52
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