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Simplifying 6(x + 1) + -2 = 8 * -2 + -2x + -1 Reorder the terms: 6(1 + x) + -2 = 8 * -2 + -2x + -1 (1 * 6 + x * 6) + -2 = 8 * -2 + -2x + -1 (6 + 6x) + -2 = 8 * -2 + -2x + -1 Reorder the terms: 6 + -2 + 6x = 8 * -2 + -2x + -1 Combine like terms: 6 + -2 = 4 4 + 6x = 8 * -2 + -2x + -1 Multiply 8 * -2 4 + 6x = -16 + -2x + -1 Reorder the terms: 4 + 6x = -16 + -1 + -2x Combine like terms: -16 + -1 = -17 4 + 6x = -17 + -2x Solving 4 + 6x = -17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 6x + 2x = -17 + -2x + 2x Combine like terms: 6x + 2x = 8x 4 + 8x = -17 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 8x = -17 + 0 4 + 8x = -17 Add '-4' to each side of the equation. 4 + -4 + 8x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -17 + -4 8x = -17 + -4 Combine like terms: -17 + -4 = -21 8x = -21 Divide each side by '8'. x = -2.625 Simplifying x = -2.625
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