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Simplifying 5 + -2(3 + x) = 9(x + -4) 5 + (3 * -2 + x * -2) = 9(x + -4) 5 + (-6 + -2x) = 9(x + -4) Combine like terms: 5 + -6 = -1 -1 + -2x = 9(x + -4) Reorder the terms: -1 + -2x = 9(-4 + x) -1 + -2x = (-4 * 9 + x * 9) -1 + -2x = (-36 + 9x) Solving -1 + -2x = -36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + -2x + -9x = -36 + 9x + -9x Combine like terms: -2x + -9x = -11x -1 + -11x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -11x = -36 + 0 -1 + -11x = -36 Add '1' to each side of the equation. -1 + 1 + -11x = -36 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = -36 + 1 -11x = -36 + 1 Combine like terms: -36 + 1 = -35 -11x = -35 Divide each side by '-11'. x = 3.181818182 Simplifying x = 3.181818182
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