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Simplifying 2(x + 6) = 10 + 4x Reorder the terms: 2(6 + x) = 10 + 4x (6 * 2 + x * 2) = 10 + 4x (12 + 2x) = 10 + 4x Solving 12 + 2x = 10 + 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. 12 + 2x + -4x = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = 10 + 0 12 + -2x = 10 Add '-12' to each side of the equation. 12 + -12 + -2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 10 + -12 -2x = 10 + -12 Combine like terms: 10 + -12 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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