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Simplifying 5(2x + -1) = 3(7 + -1x) Reorder the terms: 5(-1 + 2x) = 3(7 + -1x) (-1 * 5 + 2x * 5) = 3(7 + -1x) (-5 + 10x) = 3(7 + -1x) -5 + 10x = (7 * 3 + -1x * 3) -5 + 10x = (21 + -3x) Solving -5 + 10x = 21 + -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. -5 + 10x + 3x = 21 + -3x + 3x Combine like terms: 10x + 3x = 13x -5 + 13x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 13x = 21 + 0 -5 + 13x = 21 Add '5' to each side of the equation. -5 + 5 + 13x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 21 + 5 13x = 21 + 5 Combine like terms: 21 + 5 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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