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Simplifying 5(2x + -4) + -9(x + -3) = 0 Reorder the terms: 5(-4 + 2x) + -9(x + -3) = 0 (-4 * 5 + 2x * 5) + -9(x + -3) = 0 (-20 + 10x) + -9(x + -3) = 0 Reorder the terms: -20 + 10x + -9(-3 + x) = 0 -20 + 10x + (-3 * -9 + x * -9) = 0 -20 + 10x + (27 + -9x) = 0 Reorder the terms: -20 + 27 + 10x + -9x = 0 Combine like terms: -20 + 27 = 7 7 + 10x + -9x = 0 Combine like terms: 10x + -9x = 1x 7 + 1x = 0 Solving 7 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 0 + -7 1x = 0 + -7 Combine like terms: 0 + -7 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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