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Simplifying 6(x + -8) + -6 = 5(x + 2) Reorder the terms: 6(-8 + x) + -6 = 5(x + 2) (-8 * 6 + x * 6) + -6 = 5(x + 2) (-48 + 6x) + -6 = 5(x + 2) Reorder the terms: -48 + -6 + 6x = 5(x + 2) Combine like terms: -48 + -6 = -54 -54 + 6x = 5(x + 2) Reorder the terms: -54 + 6x = 5(2 + x) -54 + 6x = (2 * 5 + x * 5) -54 + 6x = (10 + 5x) Solving -54 + 6x = 10 + 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. -54 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x -54 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 1x = 10 + 0 -54 + 1x = 10 Add '54' to each side of the equation. -54 + 54 + 1x = 10 + 54 Combine like terms: -54 + 54 = 0 0 + 1x = 10 + 54 1x = 10 + 54 Combine like terms: 10 + 54 = 64 1x = 64 Divide each side by '1'. x = 64 Simplifying x = 64
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