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Simplifying 2(x + 4) = 4x + 6 Reorder the terms: 2(4 + x) = 4x + 6 (4 * 2 + x * 2) = 4x + 6 (8 + 2x) = 4x + 6 Reorder the terms: 8 + 2x = 6 + 4x Solving 8 + 2x = 6 + 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. 8 + 2x + -4x = 6 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 6 + 0 8 + -2x = 6 Add '-8' to each side of the equation. 8 + -8 + -2x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 6 + -8 -2x = 6 + -8 Combine like terms: 6 + -8 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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