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Simplifying 5(x + -4) + -3(x + 8) + 6x = 20 Reorder the terms: 5(-4 + x) + -3(x + 8) + 6x = 20 (-4 * 5 + x * 5) + -3(x + 8) + 6x = 20 (-20 + 5x) + -3(x + 8) + 6x = 20 Reorder the terms: -20 + 5x + -3(8 + x) + 6x = 20 -20 + 5x + (8 * -3 + x * -3) + 6x = 20 -20 + 5x + (-24 + -3x) + 6x = 20 Reorder the terms: -20 + -24 + 5x + -3x + 6x = 20 Combine like terms: -20 + -24 = -44 -44 + 5x + -3x + 6x = 20 Combine like terms: 5x + -3x = 2x -44 + 2x + 6x = 20 Combine like terms: 2x + 6x = 8x -44 + 8x = 20 Solving -44 + 8x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 8x = 20 + 44 Combine like terms: -44 + 44 = 0 0 + 8x = 20 + 44 8x = 20 + 44 Combine like terms: 20 + 44 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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