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Simplifying -2(3 + x) + 2x = 6(x + 2) (3 * -2 + x * -2) + 2x = 6(x + 2) (-6 + -2x) + 2x = 6(x + 2) Combine like terms: -2x + 2x = 0 -6 + 0 = 6(x + 2) -6 = 6(x + 2) Reorder the terms: -6 = 6(2 + x) -6 = (2 * 6 + x * 6) -6 = (12 + 6x) Solving -6 = 12 + 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 + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -6x = 12 + 0 -6 + -6x = 12 Add '6' to each side of the equation. -6 + 6 + -6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 12 + 6 -6x = 12 + 6 Combine like terms: 12 + 6 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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