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Simplifying 2(8 + -3x) + -1(2 + -7x) = 12 + -1(5 + -2x) (8 * 2 + -3x * 2) + -1(2 + -7x) = 12 + -1(5 + -2x) (16 + -6x) + -1(2 + -7x) = 12 + -1(5 + -2x) 16 + -6x + (2 * -1 + -7x * -1) = 12 + -1(5 + -2x) 16 + -6x + (-2 + 7x) = 12 + -1(5 + -2x) Reorder the terms: 16 + -2 + -6x + 7x = 12 + -1(5 + -2x) Combine like terms: 16 + -2 = 14 14 + -6x + 7x = 12 + -1(5 + -2x) Combine like terms: -6x + 7x = 1x 14 + 1x = 12 + -1(5 + -2x) 14 + 1x = 12 + (5 * -1 + -2x * -1) 14 + 1x = 12 + (-5 + 2x) Combine like terms: 12 + -5 = 7 14 + 1x = 7 + 2x Solving 14 + 1x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x 14 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -1x = 7 + 0 14 + -1x = 7 Add '-14' to each side of the equation. 14 + -14 + -1x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 7 + -14 -1x = 7 + -14 Combine like terms: 7 + -14 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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