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Simplifying 2x + 4 = 2(8 + -6x) + 2 Reorder the terms: 4 + 2x = 2(8 + -6x) + 2 4 + 2x = (8 * 2 + -6x * 2) + 2 4 + 2x = (16 + -12x) + 2 Reorder the terms: 4 + 2x = 16 + 2 + -12x Combine like terms: 16 + 2 = 18 4 + 2x = 18 + -12x Solving 4 + 2x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + 2x + 12x = 18 + -12x + 12x Combine like terms: 2x + 12x = 14x 4 + 14x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 14x = 18 + 0 4 + 14x = 18 Add '-4' to each side of the equation. 4 + -4 + 14x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 18 + -4 14x = 18 + -4 Combine like terms: 18 + -4 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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