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Simplifying 5(3x + 9) = 12x + -3 Reorder the terms: 5(9 + 3x) = 12x + -3 (9 * 5 + 3x * 5) = 12x + -3 (45 + 15x) = 12x + -3 Reorder the terms: 45 + 15x = -3 + 12x Solving 45 + 15x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 45 + 15x + -12x = -3 + 12x + -12x Combine like terms: 15x + -12x = 3x 45 + 3x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + 3x = -3 + 0 45 + 3x = -3 Add '-45' to each side of the equation. 45 + -45 + 3x = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = -3 + -45 3x = -3 + -45 Combine like terms: -3 + -45 = -48 3x = -48 Divide each side by '3'. x = -16 Simplifying x = -16
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