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Simplifying 2(x + 2) = 6(x + 3) Reorder the terms: 2(2 + x) = 6(x + 3) (2 * 2 + x * 2) = 6(x + 3) (4 + 2x) = 6(x + 3) Reorder the terms: 4 + 2x = 6(3 + x) 4 + 2x = (3 * 6 + x * 6) 4 + 2x = (18 + 6x) Solving 4 + 2x = 18 + 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. 4 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x = 18 + 0 4 + -4x = 18 Add '-4' to each side of the equation. 4 + -4 + -4x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 18 + -4 -4x = 18 + -4 Combine like terms: 18 + -4 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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