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Simplifying 3(5 + -3(x + -4)) = 2x + 9 Reorder the terms: 3(5 + -3(-4 + x)) = 2x + 9 3(5 + (-4 * -3 + x * -3)) = 2x + 9 3(5 + (12 + -3x)) = 2x + 9 Combine like terms: 5 + 12 = 17 3(17 + -3x) = 2x + 9 (17 * 3 + -3x * 3) = 2x + 9 (51 + -9x) = 2x + 9 Reorder the terms: 51 + -9x = 9 + 2x Solving 51 + -9x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 51 + -9x + -2x = 9 + 2x + -2x Combine like terms: -9x + -2x = -11x 51 + -11x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 51 + -11x = 9 + 0 51 + -11x = 9 Add '-51' to each side of the equation. 51 + -51 + -11x = 9 + -51 Combine like terms: 51 + -51 = 0 0 + -11x = 9 + -51 -11x = 9 + -51 Combine like terms: 9 + -51 = -42 -11x = -42 Divide each side by '-11'. x = 3.818181818 Simplifying x = 3.818181818
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