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Simplifying 8 + 2(3 + -1x) = 4(x + 2) 8 + (3 * 2 + -1x * 2) = 4(x + 2) 8 + (6 + -2x) = 4(x + 2) Combine like terms: 8 + 6 = 14 14 + -2x = 4(x + 2) Reorder the terms: 14 + -2x = 4(2 + x) 14 + -2x = (2 * 4 + x * 4) 14 + -2x = (8 + 4x) Solving 14 + -2x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + -2x + -4x = 8 + 4x + -4x Combine like terms: -2x + -4x = -6x 14 + -6x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -6x = 8 + 0 14 + -6x = 8 Add '-14' to each side of the equation. 14 + -14 + -6x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 8 + -14 -6x = 8 + -14 Combine like terms: 8 + -14 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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