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Simplifying 4.8(x + 15) = 0.5(2x + 100) Reorder the terms: 4.8(15 + x) = 0.5(2x + 100) (15 * 4.8 + x * 4.8) = 0.5(2x + 100) (72 + 4.8x) = 0.5(2x + 100) Reorder the terms: 72 + 4.8x = 0.5(100 + 2x) 72 + 4.8x = (100 * 0.5 + 2x * 0.5) 72 + 4.8x = (50 + 1x) Solving 72 + 4.8x = 50 + 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. 72 + 4.8x + -1x = 50 + 1x + -1x Combine like terms: 4.8x + -1x = 3.8x 72 + 3.8x = 50 + 1x + -1x Combine like terms: 1x + -1x = 0 72 + 3.8x = 50 + 0 72 + 3.8x = 50 Add '-72' to each side of the equation. 72 + -72 + 3.8x = 50 + -72 Combine like terms: 72 + -72 = 0 0 + 3.8x = 50 + -72 3.8x = 50 + -72 Combine like terms: 50 + -72 = -22 3.8x = -22 Divide each side by '3.8'. x = -5.789473684 Simplifying x = -5.789473684
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