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Simplifying 15(3x + -5) = 14(2x + 4) Reorder the terms: 15(-5 + 3x) = 14(2x + 4) (-5 * 15 + 3x * 15) = 14(2x + 4) (-75 + 45x) = 14(2x + 4) Reorder the terms: -75 + 45x = 14(4 + 2x) -75 + 45x = (4 * 14 + 2x * 14) -75 + 45x = (56 + 28x) Solving -75 + 45x = 56 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -75 + 45x + -28x = 56 + 28x + -28x Combine like terms: 45x + -28x = 17x -75 + 17x = 56 + 28x + -28x Combine like terms: 28x + -28x = 0 -75 + 17x = 56 + 0 -75 + 17x = 56 Add '75' to each side of the equation. -75 + 75 + 17x = 56 + 75 Combine like terms: -75 + 75 = 0 0 + 17x = 56 + 75 17x = 56 + 75 Combine like terms: 56 + 75 = 131 17x = 131 Divide each side by '17'. x = 7.705882353 Simplifying x = 7.705882353
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