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Simplifying 4(x + 3) + (x + 6) + 2(x + -3) = 0 Reorder the terms: 4(3 + x) + (x + 6) + 2(x + -3) = 0 (3 * 4 + x * 4) + (x + 6) + 2(x + -3) = 0 (12 + 4x) + (x + 6) + 2(x + -3) = 0 Reorder the terms: 12 + 4x + (6 + x) + 2(x + -3) = 0 Remove parenthesis around (6 + x) 12 + 4x + 6 + x + 2(x + -3) = 0 Reorder the terms: 12 + 4x + 6 + x + 2(-3 + x) = 0 12 + 4x + 6 + x + (-3 * 2 + x * 2) = 0 12 + 4x + 6 + x + (-6 + 2x) = 0 Reorder the terms: 12 + 6 + -6 + 4x + x + 2x = 0 Combine like terms: 12 + 6 = 18 18 + -6 + 4x + x + 2x = 0 Combine like terms: 18 + -6 = 12 12 + 4x + x + 2x = 0 Combine like terms: 4x + x = 5x 12 + 5x + 2x = 0 Combine like terms: 5x + 2x = 7x 12 + 7x = 0 Solving 12 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 0 + -12 7x = 0 + -12 Combine like terms: 0 + -12 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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