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Simplifying 5(2x + -4) + -3(3x + -7) = 31 Reorder the terms: 5(-4 + 2x) + -3(3x + -7) = 31 (-4 * 5 + 2x * 5) + -3(3x + -7) = 31 (-20 + 10x) + -3(3x + -7) = 31 Reorder the terms: -20 + 10x + -3(-7 + 3x) = 31 -20 + 10x + (-7 * -3 + 3x * -3) = 31 -20 + 10x + (21 + -9x) = 31 Reorder the terms: -20 + 21 + 10x + -9x = 31 Combine like terms: -20 + 21 = 1 1 + 10x + -9x = 31 Combine like terms: 10x + -9x = 1x 1 + 1x = 31 Solving 1 + 1x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 31 + -1 1x = 31 + -1 Combine like terms: 31 + -1 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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