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Simplifying 9(x + 3) + 2(x + 3) = 5x + -5 Reorder the terms: 9(3 + x) + 2(x + 3) = 5x + -5 (3 * 9 + x * 9) + 2(x + 3) = 5x + -5 (27 + 9x) + 2(x + 3) = 5x + -5 Reorder the terms: 27 + 9x + 2(3 + x) = 5x + -5 27 + 9x + (3 * 2 + x * 2) = 5x + -5 27 + 9x + (6 + 2x) = 5x + -5 Reorder the terms: 27 + 6 + 9x + 2x = 5x + -5 Combine like terms: 27 + 6 = 33 33 + 9x + 2x = 5x + -5 Combine like terms: 9x + 2x = 11x 33 + 11x = 5x + -5 Reorder the terms: 33 + 11x = -5 + 5x Solving 33 + 11x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 33 + 11x + -5x = -5 + 5x + -5x Combine like terms: 11x + -5x = 6x 33 + 6x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + 6x = -5 + 0 33 + 6x = -5 Add '-33' to each side of the equation. 33 + -33 + 6x = -5 + -33 Combine like terms: 33 + -33 = 0 0 + 6x = -5 + -33 6x = -5 + -33 Combine like terms: -5 + -33 = -38 6x = -38 Divide each side by '6'. x = -6.333333333 Simplifying x = -6.333333333
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