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Simplifying 3(2x + -1) + -5(4x + 3) = 10 Reorder the terms: 3(-1 + 2x) + -5(4x + 3) = 10 (-1 * 3 + 2x * 3) + -5(4x + 3) = 10 (-3 + 6x) + -5(4x + 3) = 10 Reorder the terms: -3 + 6x + -5(3 + 4x) = 10 -3 + 6x + (3 * -5 + 4x * -5) = 10 -3 + 6x + (-15 + -20x) = 10 Reorder the terms: -3 + -15 + 6x + -20x = 10 Combine like terms: -3 + -15 = -18 -18 + 6x + -20x = 10 Combine like terms: 6x + -20x = -14x -18 + -14x = 10 Solving -18 + -14x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -14x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -14x = 10 + 18 -14x = 10 + 18 Combine like terms: 10 + 18 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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