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Simplifying 14x + 7 = 28(10 + 5x) Reorder the terms: 7 + 14x = 28(10 + 5x) 7 + 14x = (10 * 28 + 5x * 28) 7 + 14x = (280 + 140x) Solving 7 + 14x = 280 + 140x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140x' to each side of the equation. 7 + 14x + -140x = 280 + 140x + -140x Combine like terms: 14x + -140x = -126x 7 + -126x = 280 + 140x + -140x Combine like terms: 140x + -140x = 0 7 + -126x = 280 + 0 7 + -126x = 280 Add '-7' to each side of the equation. 7 + -7 + -126x = 280 + -7 Combine like terms: 7 + -7 = 0 0 + -126x = 280 + -7 -126x = 280 + -7 Combine like terms: 280 + -7 = 273 -126x = 273 Divide each side by '-126'. x = -2.166666667 Simplifying x = -2.166666667
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