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Simplifying 6(x + 1) = 7x + -8 Reorder the terms: 6(1 + x) = 7x + -8 (1 * 6 + x * 6) = 7x + -8 (6 + 6x) = 7x + -8 Reorder the terms: 6 + 6x = -8 + 7x Solving 6 + 6x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 6x + -7x = -8 + 7x + -7x Combine like terms: 6x + -7x = -1x 6 + -1x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -1x = -8 + 0 6 + -1x = -8 Add '-6' to each side of the equation. 6 + -6 + -1x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -8 + -6 -1x = -8 + -6 Combine like terms: -8 + -6 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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