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Simplifying 4(x + 3) + -1(x + -6) = 9 Reorder the terms: 4(3 + x) + -1(x + -6) = 9 (3 * 4 + x * 4) + -1(x + -6) = 9 (12 + 4x) + -1(x + -6) = 9 Reorder the terms: 12 + 4x + -1(-6 + x) = 9 12 + 4x + (-6 * -1 + x * -1) = 9 12 + 4x + (6 + -1x) = 9 Reorder the terms: 12 + 6 + 4x + -1x = 9 Combine like terms: 12 + 6 = 18 18 + 4x + -1x = 9 Combine like terms: 4x + -1x = 3x 18 + 3x = 9 Solving 18 + 3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 9 + -18 3x = 9 + -18 Combine like terms: 9 + -18 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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