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Simplifying 6(x + 1) + -2 = 8x + -2 Reorder the terms: 6(1 + x) + -2 = 8x + -2 (1 * 6 + x * 6) + -2 = 8x + -2 (6 + 6x) + -2 = 8x + -2 Reorder the terms: 6 + -2 + 6x = 8x + -2 Combine like terms: 6 + -2 = 4 4 + 6x = 8x + -2 Reorder the terms: 4 + 6x = -2 + 8x Solving 4 + 6x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 6x + -8x = -2 + 8x + -8x Combine like terms: 6x + -8x = -2x 4 + -2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -2x = -2 + 0 4 + -2x = -2 Add '-4' to each side of the equation. 4 + -4 + -2x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -2 + -4 -2x = -2 + -4 Combine like terms: -2 + -4 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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