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Simplifying 5(4x + 3) = 0.5(2x + 5) Reorder the terms: 5(3 + 4x) = 0.5(2x + 5) (3 * 5 + 4x * 5) = 0.5(2x + 5) (15 + 20x) = 0.5(2x + 5) Reorder the terms: 15 + 20x = 0.5(5 + 2x) 15 + 20x = (5 * 0.5 + 2x * 0.5) 15 + 20x = (2.5 + 1x) Solving 15 + 20x = 2.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 20x + -1x = 2.5 + 1x + -1x Combine like terms: 20x + -1x = 19x 15 + 19x = 2.5 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + 19x = 2.5 + 0 15 + 19x = 2.5 Add '-15' to each side of the equation. 15 + -15 + 19x = 2.5 + -15 Combine like terms: 15 + -15 = 0 0 + 19x = 2.5 + -15 19x = 2.5 + -15 Combine like terms: 2.5 + -15 = -12.5 19x = -12.5 Divide each side by '19'. x = -0.6578947368 Simplifying x = -0.6578947368
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