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Simplifying 2(3x + 7) = 8 + -1(x + -6) Reorder the terms: 2(7 + 3x) = 8 + -1(x + -6) (7 * 2 + 3x * 2) = 8 + -1(x + -6) (14 + 6x) = 8 + -1(x + -6) Reorder the terms: 14 + 6x = 8 + -1(-6 + x) 14 + 6x = 8 + (-6 * -1 + x * -1) 14 + 6x = 8 + (6 + -1x) Combine like terms: 8 + 6 = 14 14 + 6x = 14 + -1x Add '-14' to each side of the equation. 14 + -14 + 6x = 14 + -14 + -1x Combine like terms: 14 + -14 = 0 0 + 6x = 14 + -14 + -1x 6x = 14 + -14 + -1x Combine like terms: 14 + -14 = 0 6x = 0 + -1x 6x = -1x Solving 6x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6x + x = -1x + x Combine like terms: 6x + x = 7x 7x = -1x + x Combine like terms: -1x + x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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