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Simplifying 2(4x + -5) + -8 = 10x + 6 + -5x Reorder the terms: 2(-5 + 4x) + -8 = 10x + 6 + -5x (-5 * 2 + 4x * 2) + -8 = 10x + 6 + -5x (-10 + 8x) + -8 = 10x + 6 + -5x Reorder the terms: -10 + -8 + 8x = 10x + 6 + -5x Combine like terms: -10 + -8 = -18 -18 + 8x = 10x + 6 + -5x Reorder the terms: -18 + 8x = 6 + 10x + -5x Combine like terms: 10x + -5x = 5x -18 + 8x = 6 + 5x Solving -18 + 8x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 8x + -5x = 6 + 5x + -5x Combine like terms: 8x + -5x = 3x -18 + 3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 3x = 6 + 0 -18 + 3x = 6 Add '18' to each side of the equation. -18 + 18 + 3x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 6 + 18 3x = 6 + 18 Combine like terms: 6 + 18 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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