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Simplifying 12(x + 4) + -1(9x + 3) = 0 Reorder the terms: 12(4 + x) + -1(9x + 3) = 0 (4 * 12 + x * 12) + -1(9x + 3) = 0 (48 + 12x) + -1(9x + 3) = 0 Reorder the terms: 48 + 12x + -1(3 + 9x) = 0 48 + 12x + (3 * -1 + 9x * -1) = 0 48 + 12x + (-3 + -9x) = 0 Reorder the terms: 48 + -3 + 12x + -9x = 0 Combine like terms: 48 + -3 = 45 45 + 12x + -9x = 0 Combine like terms: 12x + -9x = 3x 45 + 3x = 0 Solving 45 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 3x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 0 + -45 3x = 0 + -45 Combine like terms: 0 + -45 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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