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Simplifying 7(x + -7) + -1(5x + -1) = x Reorder the terms: 7(-7 + x) + -1(5x + -1) = x (-7 * 7 + x * 7) + -1(5x + -1) = x (-49 + 7x) + -1(5x + -1) = x Reorder the terms: -49 + 7x + -1(-1 + 5x) = x -49 + 7x + (-1 * -1 + 5x * -1) = x -49 + 7x + (1 + -5x) = x Reorder the terms: -49 + 1 + 7x + -5x = x Combine like terms: -49 + 1 = -48 -48 + 7x + -5x = x Combine like terms: 7x + -5x = 2x -48 + 2x = x Solving -48 + 2x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -48 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x -48 + 1x = x + -1x Combine like terms: x + -1x = 0 -48 + 1x = 0 Add '48' to each side of the equation. -48 + 48 + 1x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = 0 + 48 1x = 0 + 48 Combine like terms: 0 + 48 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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