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Simplifying 5(4x + -3) = 7x + -1(15x + -2) Reorder the terms: 5(-3 + 4x) = 7x + -1(15x + -2) (-3 * 5 + 4x * 5) = 7x + -1(15x + -2) (-15 + 20x) = 7x + -1(15x + -2) Reorder the terms: -15 + 20x = 7x + -1(-2 + 15x) -15 + 20x = 7x + (-2 * -1 + 15x * -1) -15 + 20x = 7x + (2 + -15x) Reorder the terms: -15 + 20x = 2 + 7x + -15x Combine like terms: 7x + -15x = -8x -15 + 20x = 2 + -8x Solving -15 + 20x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 20x + 8x = 2 + -8x + 8x Combine like terms: 20x + 8x = 28x -15 + 28x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 28x = 2 + 0 -15 + 28x = 2 Add '15' to each side of the equation. -15 + 15 + 28x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 28x = 2 + 15 28x = 2 + 15 Combine like terms: 2 + 15 = 17 28x = 17 Divide each side by '28'. x = 0.6071428571 Simplifying x = 0.6071428571
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