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