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Simplifying 5(2x + -4) + -3(3x + -8) = 5 Reorder the terms: 5(-4 + 2x) + -3(3x + -8) = 5 (-4 * 5 + 2x * 5) + -3(3x + -8) = 5 (-20 + 10x) + -3(3x + -8) = 5 Reorder the terms: -20 + 10x + -3(-8 + 3x) = 5 -20 + 10x + (-8 * -3 + 3x * -3) = 5 -20 + 10x + (24 + -9x) = 5 Reorder the terms: -20 + 24 + 10x + -9x = 5 Combine like terms: -20 + 24 = 4 4 + 10x + -9x = 5 Combine like terms: 10x + -9x = 1x 4 + 1x = 5 Solving 4 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 5 + -4 1x = 5 + -4 Combine like terms: 5 + -4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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