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Simplifying 3(2x + -4) + -1(4x + -10) = 20 Reorder the terms: 3(-4 + 2x) + -1(4x + -10) = 20 (-4 * 3 + 2x * 3) + -1(4x + -10) = 20 (-12 + 6x) + -1(4x + -10) = 20 Reorder the terms: -12 + 6x + -1(-10 + 4x) = 20 -12 + 6x + (-10 * -1 + 4x * -1) = 20 -12 + 6x + (10 + -4x) = 20 Reorder the terms: -12 + 10 + 6x + -4x = 20 Combine like terms: -12 + 10 = -2 -2 + 6x + -4x = 20 Combine like terms: 6x + -4x = 2x -2 + 2x = 20 Solving -2 + 2x = 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 + 2x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 20 + 2 2x = 20 + 2 Combine like terms: 20 + 2 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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