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Simplifying 3(2x + 6) = 6x + 18 + -7(x + -1) + -56 Reorder the terms: 3(6 + 2x) = 6x + 18 + -7(x + -1) + -56 (6 * 3 + 2x * 3) = 6x + 18 + -7(x + -1) + -56 (18 + 6x) = 6x + 18 + -7(x + -1) + -56 Reorder the terms: 18 + 6x = 6x + 18 + -7(-1 + x) + -56 18 + 6x = 6x + 18 + (-1 * -7 + x * -7) + -56 18 + 6x = 6x + 18 + (7 + -7x) + -56 Reorder the terms: 18 + 6x = 18 + 7 + -56 + 6x + -7x Combine like terms: 18 + 7 = 25 18 + 6x = 25 + -56 + 6x + -7x Combine like terms: 25 + -56 = -31 18 + 6x = -31 + 6x + -7x Combine like terms: 6x + -7x = -1x 18 + 6x = -31 + -1x Solving 18 + 6x = -31 + -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 = -31 + -1x + x Combine like terms: 6x + x = 7x 18 + 7x = -31 + -1x + x Combine like terms: -1x + x = 0 18 + 7x = -31 + 0 18 + 7x = -31 Add '-18' to each side of the equation. 18 + -18 + 7x = -31 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -31 + -18 7x = -31 + -18 Combine like terms: -31 + -18 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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