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Simplifying 5(4x + -4) + -2(5x + -12) = 3(3x + 4) + -2 Reorder the terms: 5(-4 + 4x) + -2(5x + -12) = 3(3x + 4) + -2 (-4 * 5 + 4x * 5) + -2(5x + -12) = 3(3x + 4) + -2 (-20 + 20x) + -2(5x + -12) = 3(3x + 4) + -2 Reorder the terms: -20 + 20x + -2(-12 + 5x) = 3(3x + 4) + -2 -20 + 20x + (-12 * -2 + 5x * -2) = 3(3x + 4) + -2 -20 + 20x + (24 + -10x) = 3(3x + 4) + -2 Reorder the terms: -20 + 24 + 20x + -10x = 3(3x + 4) + -2 Combine like terms: -20 + 24 = 4 4 + 20x + -10x = 3(3x + 4) + -2 Combine like terms: 20x + -10x = 10x 4 + 10x = 3(3x + 4) + -2 Reorder the terms: 4 + 10x = 3(4 + 3x) + -2 4 + 10x = (4 * 3 + 3x * 3) + -2 4 + 10x = (12 + 9x) + -2 Reorder the terms: 4 + 10x = 12 + -2 + 9x Combine like terms: 12 + -2 = 10 4 + 10x = 10 + 9x Solving 4 + 10x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 10x + -9x = 10 + 9x + -9x Combine like terms: 10x + -9x = 1x 4 + 1x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 1x = 10 + 0 4 + 1x = 10 Add '-4' to each side of the equation. 4 + -4 + 1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 10 + -4 1x = 10 + -4 Combine like terms: 10 + -4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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