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Simplifying 5(2 + -1x) + -3(4 + -2x) = 20 (2 * 5 + -1x * 5) + -3(4 + -2x) = 20 (10 + -5x) + -3(4 + -2x) = 20 10 + -5x + (4 * -3 + -2x * -3) = 20 10 + -5x + (-12 + 6x) = 20 Reorder the terms: 10 + -12 + -5x + 6x = 20 Combine like terms: 10 + -12 = -2 -2 + -5x + 6x = 20 Combine like terms: -5x + 6x = 1x -2 + 1x = 20 Solving -2 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 20 + 2 1x = 20 + 2 Combine like terms: 20 + 2 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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