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Simplifying 6(x + 3) = 32 + -1x Reorder the terms: 6(3 + x) = 32 + -1x (3 * 6 + x * 6) = 32 + -1x (18 + 6x) = 32 + -1x Solving 18 + 6x = 32 + -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. 18 + 6x + x = 32 + -1x + x Combine like terms: 6x + x = 7x 18 + 7x = 32 + -1x + x Combine like terms: -1x + x = 0 18 + 7x = 32 + 0 18 + 7x = 32 Add '-18' to each side of the equation. 18 + -18 + 7x = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 32 + -18 7x = 32 + -18 Combine like terms: 32 + -18 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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