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Simplifying 0.6(6x + 0.5) = 5x + -0.6 Reorder the terms: 0.6(0.5 + 6x) = 5x + -0.6 (0.5 * 0.6 + 6x * 0.6) = 5x + -0.6 (0.3 + 3.6x) = 5x + -0.6 Reorder the terms: 0.3 + 3.6x = -0.6 + 5x Solving 0.3 + 3.6x = -0.6 + 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. 0.3 + 3.6x + -5x = -0.6 + 5x + -5x Combine like terms: 3.6x + -5x = -1.4x 0.3 + -1.4x = -0.6 + 5x + -5x Combine like terms: 5x + -5x = 0 0.3 + -1.4x = -0.6 + 0 0.3 + -1.4x = -0.6 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -1.4x = -0.6 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -1.4x = -0.6 + -0.3 -1.4x = -0.6 + -0.3 Combine like terms: -0.6 + -0.3 = -0.9 -1.4x = -0.9 Divide each side by '-1.4'. x = 0.6428571429 Simplifying x = 0.6428571429
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