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Simplifying (2x + -6) + 4(x + 3) = 0 Reorder the terms: (-6 + 2x) + 4(x + 3) = 0 Remove parenthesis around (-6 + 2x) -6 + 2x + 4(x + 3) = 0 Reorder the terms: -6 + 2x + 4(3 + x) = 0 -6 + 2x + (3 * 4 + x * 4) = 0 -6 + 2x + (12 + 4x) = 0 Reorder the terms: -6 + 12 + 2x + 4x = 0 Combine like terms: -6 + 12 = 6 6 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x 6 + 6x = 0 Solving 6 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 0 + -6 6x = 0 + -6 Combine like terms: 0 + -6 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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