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