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Simplifying 5(x + -7) = 2(x + 1) Reorder the terms: 5(-7 + x) = 2(x + 1) (-7 * 5 + x * 5) = 2(x + 1) (-35 + 5x) = 2(x + 1) Reorder the terms: -35 + 5x = 2(1 + x) -35 + 5x = (1 * 2 + x * 2) -35 + 5x = (2 + 2x) Solving -35 + 5x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x -35 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 3x = 2 + 0 -35 + 3x = 2 Add '35' to each side of the equation. -35 + 35 + 3x = 2 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = 2 + 35 3x = 2 + 35 Combine like terms: 2 + 35 = 37 3x = 37 Divide each side by '3'. x = 12.33333333 Simplifying x = 12.33333333
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