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Simplifying -1(x + -4) + -2x + -1(-2x) + -1(-1(-3)) + 1 = 2(-1x + 2) Reorder the terms: -1(-4 + x) + -2x + -1(-2x) + -1(-1(-3)) + 1 = 2(-1x + 2) (-4 * -1 + x * -1) + -2x + -1(-2x) + -1(-1(-3)) + 1 = 2(-1x + 2) (4 + -1x) + -2x + -1(-2x) + -1(-1(-3)) + 1 = 2(-1x + 2) Remove parenthesis around (-2x) 4 + -1x + -2x + -1 * -2x + -1(-1(-3)) + 1 = 2(-1x + 2) Multiply -1 * -2 4 + -1x + -2x + 2x + -1(-1(-3)) + 1 = 2(-1x + 2) Multiply -1 * -3 4 + -1x + -2x + 2x + -1(3) + 1 = 2(-1x + 2) Multiply -1 * 3 4 + -1x + -2x + 2x + -3 + 1 = 2(-1x + 2) Reorder the terms: 4 + -3 + 1 + -1x + -2x + 2x = 2(-1x + 2) Combine like terms: 4 + -3 = 1 1 + 1 + -1x + -2x + 2x = 2(-1x + 2) Combine like terms: 1 + 1 = 2 2 + -1x + -2x + 2x = 2(-1x + 2) Combine like terms: -1x + -2x = -3x 2 + -3x + 2x = 2(-1x + 2) Combine like terms: -3x + 2x = -1x 2 + -1x = 2(-1x + 2) Reorder the terms: 2 + -1x = 2(2 + -1x) 2 + -1x = (2 * 2 + -1x * 2) 2 + -1x = (4 + -2x) Solving 2 + -1x = 4 + -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. 2 + -1x + 2x = 4 + -2x + 2x Combine like terms: -1x + 2x = 1x 2 + 1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 1x = 4 + 0 2 + 1x = 4 Add '-2' to each side of the equation. 2 + -2 + 1x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 4 + -2 1x = 4 + -2 Combine like terms: 4 + -2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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