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