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Simplifying 0.5(6 + x) = 0.3(5 + 2x) (6 * 0.5 + x * 0.5) = 0.3(5 + 2x) (3 + 0.5x) = 0.3(5 + 2x) 3 + 0.5x = (5 * 0.3 + 2x * 0.3) 3 + 0.5x = (1.5 + 0.6x) Solving 3 + 0.5x = 1.5 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 3 + 0.5x + -0.6x = 1.5 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 3 + -0.1x = 1.5 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 3 + -0.1x = 1.5 + 0.0 3 + -0.1x = 1.5 Add '-3' to each side of the equation. 3 + -3 + -0.1x = 1.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.1x = 1.5 + -3 -0.1x = 1.5 + -3 Combine like terms: 1.5 + -3 = -1.5 -0.1x = -1.5 Divide each side by '-0.1'. x = 15 Simplifying x = 15
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