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Simplifying 3(2x + -4) + -1(5 + -1x) = 3(1 + -1x) Reorder the terms: 3(-4 + 2x) + -1(5 + -1x) = 3(1 + -1x) (-4 * 3 + 2x * 3) + -1(5 + -1x) = 3(1 + -1x) (-12 + 6x) + -1(5 + -1x) = 3(1 + -1x) -12 + 6x + (5 * -1 + -1x * -1) = 3(1 + -1x) -12 + 6x + (-5 + 1x) = 3(1 + -1x) Reorder the terms: -12 + -5 + 6x + 1x = 3(1 + -1x) Combine like terms: -12 + -5 = -17 -17 + 6x + 1x = 3(1 + -1x) Combine like terms: 6x + 1x = 7x -17 + 7x = 3(1 + -1x) -17 + 7x = (1 * 3 + -1x * 3) -17 + 7x = (3 + -3x) Solving -17 + 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. -17 + 7x + 3x = 3 + -3x + 3x Combine like terms: 7x + 3x = 10x -17 + 10x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 10x = 3 + 0 -17 + 10x = 3 Add '17' to each side of the equation. -17 + 17 + 10x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = 3 + 17 10x = 3 + 17 Combine like terms: 3 + 17 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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