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Simplifying 9(3 + -3x) + 6(1 + 2x) = 93 (3 * 9 + -3x * 9) + 6(1 + 2x) = 93 (27 + -27x) + 6(1 + 2x) = 93 27 + -27x + (1 * 6 + 2x * 6) = 93 27 + -27x + (6 + 12x) = 93 Reorder the terms: 27 + 6 + -27x + 12x = 93 Combine like terms: 27 + 6 = 33 33 + -27x + 12x = 93 Combine like terms: -27x + 12x = -15x 33 + -15x = 93 Solving 33 + -15x = 93 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -15x = 93 + -33 Combine like terms: 33 + -33 = 0 0 + -15x = 93 + -33 -15x = 93 + -33 Combine like terms: 93 + -33 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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