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Simplifying 5(x + -3) + 7(2x + -4) = 0 Reorder the terms: 5(-3 + x) + 7(2x + -4) = 0 (-3 * 5 + x * 5) + 7(2x + -4) = 0 (-15 + 5x) + 7(2x + -4) = 0 Reorder the terms: -15 + 5x + 7(-4 + 2x) = 0 -15 + 5x + (-4 * 7 + 2x * 7) = 0 -15 + 5x + (-28 + 14x) = 0 Reorder the terms: -15 + -28 + 5x + 14x = 0 Combine like terms: -15 + -28 = -43 -43 + 5x + 14x = 0 Combine like terms: 5x + 14x = 19x -43 + 19x = 0 Solving -43 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 19x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 19x = 0 + 43 19x = 0 + 43 Combine like terms: 0 + 43 = 43 19x = 43 Divide each side by '19'. x = 2.263157895 Simplifying x = 2.263157895
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