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Simplifying 3 + 4(2x + -1) + -2 = 5 + -2(x + -1) Reorder the terms: 3 + 4(-1 + 2x) + -2 = 5 + -2(x + -1) 3 + (-1 * 4 + 2x * 4) + -2 = 5 + -2(x + -1) 3 + (-4 + 8x) + -2 = 5 + -2(x + -1) Reorder the terms: 3 + -4 + -2 + 8x = 5 + -2(x + -1) Combine like terms: 3 + -4 = -1 -1 + -2 + 8x = 5 + -2(x + -1) Combine like terms: -1 + -2 = -3 -3 + 8x = 5 + -2(x + -1) Reorder the terms: -3 + 8x = 5 + -2(-1 + x) -3 + 8x = 5 + (-1 * -2 + x * -2) -3 + 8x = 5 + (2 + -2x) Combine like terms: 5 + 2 = 7 -3 + 8x = 7 + -2x Solving -3 + 8x = 7 + -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. -3 + 8x + 2x = 7 + -2x + 2x Combine like terms: 8x + 2x = 10x -3 + 10x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 10x = 7 + 0 -3 + 10x = 7 Add '3' to each side of the equation. -3 + 3 + 10x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 7 + 3 10x = 7 + 3 Combine like terms: 7 + 3 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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