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Simplifying 9x + -5(3 + -1x) = 3(x + 4) 9x + (3 * -5 + -1x * -5) = 3(x + 4) 9x + (-15 + 5x) = 3(x + 4) Reorder the terms: -15 + 9x + 5x = 3(x + 4) Combine like terms: 9x + 5x = 14x -15 + 14x = 3(x + 4) Reorder the terms: -15 + 14x = 3(4 + x) -15 + 14x = (4 * 3 + x * 3) -15 + 14x = (12 + 3x) Solving -15 + 14x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 14x + -3x = 12 + 3x + -3x Combine like terms: 14x + -3x = 11x -15 + 11x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 11x = 12 + 0 -15 + 11x = 12 Add '15' to each side of the equation. -15 + 15 + 11x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 12 + 15 11x = 12 + 15 Combine like terms: 12 + 15 = 27 11x = 27 Divide each side by '11'. x = 2.454545455 Simplifying x = 2.454545455
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