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Simplifying 8(2 + -1x) + 2 = 12 + -2x (2 * 8 + -1x * 8) + 2 = 12 + -2x (16 + -8x) + 2 = 12 + -2x Reorder the terms: 16 + 2 + -8x = 12 + -2x Combine like terms: 16 + 2 = 18 18 + -8x = 12 + -2x Solving 18 + -8x = 12 + -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. 18 + -8x + 2x = 12 + -2x + 2x Combine like terms: -8x + 2x = -6x 18 + -6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -6x = 12 + 0 18 + -6x = 12 Add '-18' to each side of the equation. 18 + -18 + -6x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 12 + -18 -6x = 12 + -18 Combine like terms: 12 + -18 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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