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Simplifying 2(x + 7) = 28 + -18 + -3(6 + -1x) Reorder the terms: 2(7 + x) = 28 + -18 + -3(6 + -1x) (7 * 2 + x * 2) = 28 + -18 + -3(6 + -1x) (14 + 2x) = 28 + -18 + -3(6 + -1x) 14 + 2x = 28 + -18 + (6 * -3 + -1x * -3) 14 + 2x = 28 + -18 + (-18 + 3x) Combine like terms: 28 + -18 = 10 14 + 2x = 10 + -18 + 3x Combine like terms: 10 + -18 = -8 14 + 2x = -8 + 3x Solving 14 + 2x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 2x + -3x = -8 + 3x + -3x Combine like terms: 2x + -3x = -1x 14 + -1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -1x = -8 + 0 14 + -1x = -8 Add '-14' to each side of the equation. 14 + -14 + -1x = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -8 + -14 -1x = -8 + -14 Combine like terms: -8 + -14 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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