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Simplifying 3(5x + -7) + -4(2x + -5) = 1 Reorder the terms: 3(-7 + 5x) + -4(2x + -5) = 1 (-7 * 3 + 5x * 3) + -4(2x + -5) = 1 (-21 + 15x) + -4(2x + -5) = 1 Reorder the terms: -21 + 15x + -4(-5 + 2x) = 1 -21 + 15x + (-5 * -4 + 2x * -4) = 1 -21 + 15x + (20 + -8x) = 1 Reorder the terms: -21 + 20 + 15x + -8x = 1 Combine like terms: -21 + 20 = -1 -1 + 15x + -8x = 1 Combine like terms: 15x + -8x = 7x -1 + 7x = 1 Solving -1 + 7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 1 + 1 7x = 1 + 1 Combine like terms: 1 + 1 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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