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Simplifying 5(2x * 2 + -1) + -1(10x * 2 + -1) = -1(x + 2) Reorder the terms for easier multiplication: 5(2 * 2x + -1) + -1(10x * 2 + -1) = -1(x + 2) Multiply 2 * 2 5(4x + -1) + -1(10x * 2 + -1) = -1(x + 2) Reorder the terms: 5(-1 + 4x) + -1(10x * 2 + -1) = -1(x + 2) (-1 * 5 + 4x * 5) + -1(10x * 2 + -1) = -1(x + 2) (-5 + 20x) + -1(10x * 2 + -1) = -1(x + 2) Reorder the terms for easier multiplication: -5 + 20x + -1(10 * 2x + -1) = -1(x + 2) Multiply 10 * 2 -5 + 20x + -1(20x + -1) = -1(x + 2) Reorder the terms: -5 + 20x + -1(-1 + 20x) = -1(x + 2) -5 + 20x + (-1 * -1 + 20x * -1) = -1(x + 2) -5 + 20x + (1 + -20x) = -1(x + 2) Reorder the terms: -5 + 1 + 20x + -20x = -1(x + 2) Combine like terms: -5 + 1 = -4 -4 + 20x + -20x = -1(x + 2) Combine like terms: 20x + -20x = 0 -4 + 0 = -1(x + 2) -4 = -1(x + 2) Reorder the terms: -4 = -1(2 + x) -4 = (2 * -1 + x * -1) -4 = (-2 + -1x) Solving -4 = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + x = -2 + -1x + x Combine like terms: -1x + x = 0 -4 + x = -2 + 0 -4 + x = -2 Add '4' to each side of the equation. -4 + 4 + x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + x = -2 + 4 x = -2 + 4 Combine like terms: -2 + 4 = 2 x = 2 Simplifying x = 2
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