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Simplifying 7(x + -5) = 3(x + 1) Reorder the terms: 7(-5 + x) = 3(x + 1) (-5 * 7 + x * 7) = 3(x + 1) (-35 + 7x) = 3(x + 1) Reorder the terms: -35 + 7x = 3(1 + x) -35 + 7x = (1 * 3 + x * 3) -35 + 7x = (3 + 3x) Solving -35 + 7x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 7x + -3x = 3 + 3x + -3x Combine like terms: 7x + -3x = 4x -35 + 4x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 4x = 3 + 0 -35 + 4x = 3 Add '35' to each side of the equation. -35 + 35 + 4x = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = 3 + 35 4x = 3 + 35 Combine like terms: 3 + 35 = 38 4x = 38 Divide each side by '4'. x = 9.5 Simplifying x = 9.5
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