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Simplifying 2(6x + -8) = 5(x + 8) Reorder the terms: 2(-8 + 6x) = 5(x + 8) (-8 * 2 + 6x * 2) = 5(x + 8) (-16 + 12x) = 5(x + 8) Reorder the terms: -16 + 12x = 5(8 + x) -16 + 12x = (8 * 5 + x * 5) -16 + 12x = (40 + 5x) Solving -16 + 12x = 40 + 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. -16 + 12x + -5x = 40 + 5x + -5x Combine like terms: 12x + -5x = 7x -16 + 7x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 7x = 40 + 0 -16 + 7x = 40 Add '16' to each side of the equation. -16 + 16 + 7x = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 40 + 16 7x = 40 + 16 Combine like terms: 40 + 16 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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