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Simplifying 2(x + 4) = 6(x + 4) Reorder the terms: 2(4 + x) = 6(x + 4) (4 * 2 + x * 2) = 6(x + 4) (8 + 2x) = 6(x + 4) Reorder the terms: 8 + 2x = 6(4 + x) 8 + 2x = (4 * 6 + x * 6) 8 + 2x = (24 + 6x) Solving 8 + 2x = 24 + 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. 8 + 2x + -6x = 24 + 6x + -6x Combine like terms: 2x + -6x = -4x 8 + -4x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -4x = 24 + 0 8 + -4x = 24 Add '-8' to each side of the equation. 8 + -8 + -4x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 24 + -8 -4x = 24 + -8 Combine like terms: 24 + -8 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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