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Simplifying 2(x + 3) = 8 + 2 + -6x + 4 Reorder the terms: 2(3 + x) = 8 + 2 + -6x + 4 (3 * 2 + x * 2) = 8 + 2 + -6x + 4 (6 + 2x) = 8 + 2 + -6x + 4 Reorder the terms: 6 + 2x = 8 + 2 + 4 + -6x Combine like terms: 8 + 2 = 10 6 + 2x = 10 + 4 + -6x Combine like terms: 10 + 4 = 14 6 + 2x = 14 + -6x Solving 6 + 2x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 2x + 6x = 14 + -6x + 6x Combine like terms: 2x + 6x = 8x 6 + 8x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 8x = 14 + 0 6 + 8x = 14 Add '-6' to each side of the equation. 6 + -6 + 8x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 14 + -6 8x = 14 + -6 Combine like terms: 14 + -6 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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