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Simplifying 3(4x + -10) + -1(2x + 4) = 50 Reorder the terms: 3(-10 + 4x) + -1(2x + 4) = 50 (-10 * 3 + 4x * 3) + -1(2x + 4) = 50 (-30 + 12x) + -1(2x + 4) = 50 Reorder the terms: -30 + 12x + -1(4 + 2x) = 50 -30 + 12x + (4 * -1 + 2x * -1) = 50 -30 + 12x + (-4 + -2x) = 50 Reorder the terms: -30 + -4 + 12x + -2x = 50 Combine like terms: -30 + -4 = -34 -34 + 12x + -2x = 50 Combine like terms: 12x + -2x = 10x -34 + 10x = 50 Solving -34 + 10x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 10x = 50 + 34 Combine like terms: -34 + 34 = 0 0 + 10x = 50 + 34 10x = 50 + 34 Combine like terms: 50 + 34 = 84 10x = 84 Divide each side by '10'. x = 8.4 Simplifying x = 8.4
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