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Simplifying 6(3x + 7) + -9(x + 4) = 6 Reorder the terms: 6(7 + 3x) + -9(x + 4) = 6 (7 * 6 + 3x * 6) + -9(x + 4) = 6 (42 + 18x) + -9(x + 4) = 6 Reorder the terms: 42 + 18x + -9(4 + x) = 6 42 + 18x + (4 * -9 + x * -9) = 6 42 + 18x + (-36 + -9x) = 6 Reorder the terms: 42 + -36 + 18x + -9x = 6 Combine like terms: 42 + -36 = 6 6 + 18x + -9x = 6 Combine like terms: 18x + -9x = 9x 6 + 9x = 6 Add '-6' to each side of the equation. 6 + -6 + 9x = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 6 + -6 9x = 6 + -6 Combine like terms: 6 + -6 = 0 9x = 0 Solving 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '9'. x = 0 Simplifying x = 0
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