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Simplifying 5(0.1x + 3) = 2x Reorder the terms: 5(3 + 0.1x) = 2x (3 * 5 + 0.1x * 5) = 2x (15 + 0.5x) = 2x Solving 15 + 0.5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 0.5x + -2x = 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 15 + -1.5x = 2x + -2x Combine like terms: 2x + -2x = 0 15 + -1.5x = 0 Add '-15' to each side of the equation. 15 + -15 + -1.5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1.5x = 0 + -15 -1.5x = 0 + -15 Combine like terms: 0 + -15 = -15 -1.5x = -15 Divide each side by '-1.5'. x = 10 Simplifying x = 10
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