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Simplifying 7(x + -5) = 3(4 + -1x) Reorder the terms: 7(-5 + x) = 3(4 + -1x) (-5 * 7 + x * 7) = 3(4 + -1x) (-35 + 7x) = 3(4 + -1x) -35 + 7x = (4 * 3 + -1x * 3) -35 + 7x = (12 + -3x) Solving -35 + 7x = 12 + -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 = 12 + -3x + 3x Combine like terms: 7x + 3x = 10x -35 + 10x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + 10x = 12 + 0 -35 + 10x = 12 Add '35' to each side of the equation. -35 + 35 + 10x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 12 + 35 10x = 12 + 35 Combine like terms: 12 + 35 = 47 10x = 47 Divide each side by '10'. x = 4.7 Simplifying x = 4.7
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