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Simplifying 3(x + -5) + 7(x + -1) = -5(x + -1) + 3 Reorder the terms: 3(-5 + x) + 7(x + -1) = -5(x + -1) + 3 (-5 * 3 + x * 3) + 7(x + -1) = -5(x + -1) + 3 (-15 + 3x) + 7(x + -1) = -5(x + -1) + 3 Reorder the terms: -15 + 3x + 7(-1 + x) = -5(x + -1) + 3 -15 + 3x + (-1 * 7 + x * 7) = -5(x + -1) + 3 -15 + 3x + (-7 + 7x) = -5(x + -1) + 3 Reorder the terms: -15 + -7 + 3x + 7x = -5(x + -1) + 3 Combine like terms: -15 + -7 = -22 -22 + 3x + 7x = -5(x + -1) + 3 Combine like terms: 3x + 7x = 10x -22 + 10x = -5(x + -1) + 3 Reorder the terms: -22 + 10x = -5(-1 + x) + 3 -22 + 10x = (-1 * -5 + x * -5) + 3 -22 + 10x = (5 + -5x) + 3 Reorder the terms: -22 + 10x = 5 + 3 + -5x Combine like terms: 5 + 3 = 8 -22 + 10x = 8 + -5x Solving -22 + 10x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -22 + 10x + 5x = 8 + -5x + 5x Combine like terms: 10x + 5x = 15x -22 + 15x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -22 + 15x = 8 + 0 -22 + 15x = 8 Add '22' to each side of the equation. -22 + 22 + 15x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 15x = 8 + 22 15x = 8 + 22 Combine like terms: 8 + 22 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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