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Simplifying -9(x + -3) + 3(7x + -5) = 11(x + 3) + -9 Reorder the terms: -9(-3 + x) + 3(7x + -5) = 11(x + 3) + -9 (-3 * -9 + x * -9) + 3(7x + -5) = 11(x + 3) + -9 (27 + -9x) + 3(7x + -5) = 11(x + 3) + -9 Reorder the terms: 27 + -9x + 3(-5 + 7x) = 11(x + 3) + -9 27 + -9x + (-5 * 3 + 7x * 3) = 11(x + 3) + -9 27 + -9x + (-15 + 21x) = 11(x + 3) + -9 Reorder the terms: 27 + -15 + -9x + 21x = 11(x + 3) + -9 Combine like terms: 27 + -15 = 12 12 + -9x + 21x = 11(x + 3) + -9 Combine like terms: -9x + 21x = 12x 12 + 12x = 11(x + 3) + -9 Reorder the terms: 12 + 12x = 11(3 + x) + -9 12 + 12x = (3 * 11 + x * 11) + -9 12 + 12x = (33 + 11x) + -9 Reorder the terms: 12 + 12x = 33 + -9 + 11x Combine like terms: 33 + -9 = 24 12 + 12x = 24 + 11x Solving 12 + 12x = 24 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + 12x + -11x = 24 + 11x + -11x Combine like terms: 12x + -11x = 1x 12 + 1x = 24 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + 1x = 24 + 0 12 + 1x = 24 Add '-12' to each side of the equation. 12 + -12 + 1x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 24 + -12 1x = 24 + -12 Combine like terms: 24 + -12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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