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Simplifying 15(5x + -4) + -1(3x + 1) = 40x + 3 Reorder the terms: 15(-4 + 5x) + -1(3x + 1) = 40x + 3 (-4 * 15 + 5x * 15) + -1(3x + 1) = 40x + 3 (-60 + 75x) + -1(3x + 1) = 40x + 3 Reorder the terms: -60 + 75x + -1(1 + 3x) = 40x + 3 -60 + 75x + (1 * -1 + 3x * -1) = 40x + 3 -60 + 75x + (-1 + -3x) = 40x + 3 Reorder the terms: -60 + -1 + 75x + -3x = 40x + 3 Combine like terms: -60 + -1 = -61 -61 + 75x + -3x = 40x + 3 Combine like terms: 75x + -3x = 72x -61 + 72x = 40x + 3 Reorder the terms: -61 + 72x = 3 + 40x Solving -61 + 72x = 3 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -61 + 72x + -40x = 3 + 40x + -40x Combine like terms: 72x + -40x = 32x -61 + 32x = 3 + 40x + -40x Combine like terms: 40x + -40x = 0 -61 + 32x = 3 + 0 -61 + 32x = 3 Add '61' to each side of the equation. -61 + 61 + 32x = 3 + 61 Combine like terms: -61 + 61 = 0 0 + 32x = 3 + 61 32x = 3 + 61 Combine like terms: 3 + 61 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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