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Simplifying 5(38.3 + -1x) = 20(14.7 + -1x) (38.3 * 5 + -1x * 5) = 20(14.7 + -1x) (191.5 + -5x) = 20(14.7 + -1x) 191.5 + -5x = (14.7 * 20 + -1x * 20) 191.5 + -5x = (294 + -20x) Solving 191.5 + -5x = 294 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 191.5 + -5x + 20x = 294 + -20x + 20x Combine like terms: -5x + 20x = 15x 191.5 + 15x = 294 + -20x + 20x Combine like terms: -20x + 20x = 0 191.5 + 15x = 294 + 0 191.5 + 15x = 294 Add '-191.5' to each side of the equation. 191.5 + -191.5 + 15x = 294 + -191.5 Combine like terms: 191.5 + -191.5 = 0.0 0.0 + 15x = 294 + -191.5 15x = 294 + -191.5 Combine like terms: 294 + -191.5 = 102.5 15x = 102.5 Divide each side by '15'. x = 6.833333333 Simplifying x = 6.833333333
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