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Simplifying 0.3 + -0.3x + -0.2x = 0.4(0.5x + 6) Combine like terms: -0.3x + -0.2x = -0.5x 0.3 + -0.5x = 0.4(0.5x + 6) Reorder the terms: 0.3 + -0.5x = 0.4(6 + 0.5x) 0.3 + -0.5x = (6 * 0.4 + 0.5x * 0.4) 0.3 + -0.5x = (2.4 + 0.2x) Solving 0.3 + -0.5x = 2.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.3 + -0.5x + -0.2x = 2.4 + 0.2x + -0.2x Combine like terms: -0.5x + -0.2x = -0.7x 0.3 + -0.7x = 2.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.3 + -0.7x = 2.4 + 0.0 0.3 + -0.7x = 2.4 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.7x = 2.4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.7x = 2.4 + -0.3 -0.7x = 2.4 + -0.3 Combine like terms: 2.4 + -0.3 = 2.1 -0.7x = 2.1 Divide each side by '-0.7'. x = -3 Simplifying x = -3
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