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Simplifying 6(5x + -4) + -4(5x + -8) = 3(3x + 5) + -11 Reorder the terms: 6(-4 + 5x) + -4(5x + -8) = 3(3x + 5) + -11 (-4 * 6 + 5x * 6) + -4(5x + -8) = 3(3x + 5) + -11 (-24 + 30x) + -4(5x + -8) = 3(3x + 5) + -11 Reorder the terms: -24 + 30x + -4(-8 + 5x) = 3(3x + 5) + -11 -24 + 30x + (-8 * -4 + 5x * -4) = 3(3x + 5) + -11 -24 + 30x + (32 + -20x) = 3(3x + 5) + -11 Reorder the terms: -24 + 32 + 30x + -20x = 3(3x + 5) + -11 Combine like terms: -24 + 32 = 8 8 + 30x + -20x = 3(3x + 5) + -11 Combine like terms: 30x + -20x = 10x 8 + 10x = 3(3x + 5) + -11 Reorder the terms: 8 + 10x = 3(5 + 3x) + -11 8 + 10x = (5 * 3 + 3x * 3) + -11 8 + 10x = (15 + 9x) + -11 Reorder the terms: 8 + 10x = 15 + -11 + 9x Combine like terms: 15 + -11 = 4 8 + 10x = 4 + 9x Solving 8 + 10x = 4 + 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. 8 + 10x + -9x = 4 + 9x + -9x Combine like terms: 10x + -9x = 1x 8 + 1x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + 1x = 4 + 0 8 + 1x = 4 Add '-8' to each side of the equation. 8 + -8 + 1x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 4 + -8 1x = 4 + -8 Combine like terms: 4 + -8 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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