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Simplifying 0.5(x + 6) = 0.3(2x + 3) Reorder the terms: 0.5(6 + x) = 0.3(2x + 3) (6 * 0.5 + x * 0.5) = 0.3(2x + 3) (3 + 0.5x) = 0.3(2x + 3) Reorder the terms: 3 + 0.5x = 0.3(3 + 2x) 3 + 0.5x = (3 * 0.3 + 2x * 0.3) 3 + 0.5x = (0.9 + 0.6x) Solving 3 + 0.5x = 0.9 + 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 = 0.9 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 3 + -0.1x = 0.9 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 3 + -0.1x = 0.9 + 0.0 3 + -0.1x = 0.9 Add '-3' to each side of the equation. 3 + -3 + -0.1x = 0.9 + -3 Combine like terms: 3 + -3 = 0 0 + -0.1x = 0.9 + -3 -0.1x = 0.9 + -3 Combine like terms: 0.9 + -3 = -2.1 -0.1x = -2.1 Divide each side by '-0.1'. x = 21 Simplifying x = 21
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