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Simplifying x + 1 + -2 + -1(-2x + 3) = x + 5 + -1(2 + -1) Reorder the terms: x + 1 + -2 + -1(3 + -2x) = x + 5 + -1(2 + -1) x + 1 + -2 + (3 * -1 + -2x * -1) = x + 5 + -1(2 + -1) x + 1 + -2 + (-3 + 2x) = x + 5 + -1(2 + -1) Reorder the terms: 1 + -2 + -3 + x + 2x = x + 5 + -1(2 + -1) Combine like terms: 1 + -2 = -1 -1 + -3 + x + 2x = x + 5 + -1(2 + -1) Combine like terms: -1 + -3 = -4 -4 + x + 2x = x + 5 + -1(2 + -1) Combine like terms: x + 2x = 3x -4 + 3x = x + 5 + -1(2 + -1) Combine like terms: 2 + -1 = 1 -4 + 3x = x + 5 + -1(1) Multiply -1 * 1 -4 + 3x = x + 5 + -1 Reorder the terms: -4 + 3x = 5 + -1 + x Combine like terms: 5 + -1 = 4 -4 + 3x = 4 + x Solving -4 + 3x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 3x + -1x = 4 + x + -1x Combine like terms: 3x + -1x = 2x -4 + 2x = 4 + x + -1x Combine like terms: x + -1x = 0 -4 + 2x = 4 + 0 -4 + 2x = 4 Add '4' to each side of the equation. -4 + 4 + 2x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 4 + 4 2x = 4 + 4 Combine like terms: 4 + 4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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