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Simplifying 9(3 + -1x) + -2(3x + 1) = -5 (3 * 9 + -1x * 9) + -2(3x + 1) = -5 (27 + -9x) + -2(3x + 1) = -5 Reorder the terms: 27 + -9x + -2(1 + 3x) = -5 27 + -9x + (1 * -2 + 3x * -2) = -5 27 + -9x + (-2 + -6x) = -5 Reorder the terms: 27 + -2 + -9x + -6x = -5 Combine like terms: 27 + -2 = 25 25 + -9x + -6x = -5 Combine like terms: -9x + -6x = -15x 25 + -15x = -5 Solving 25 + -15x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -15x = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -15x = -5 + -25 -15x = -5 + -25 Combine like terms: -5 + -25 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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