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Simplifying 9(x + -3) = -3(x + -4) + 47 Reorder the terms: 9(-3 + x) = -3(x + -4) + 47 (-3 * 9 + x * 9) = -3(x + -4) + 47 (-27 + 9x) = -3(x + -4) + 47 Reorder the terms: -27 + 9x = -3(-4 + x) + 47 -27 + 9x = (-4 * -3 + x * -3) + 47 -27 + 9x = (12 + -3x) + 47 Reorder the terms: -27 + 9x = 12 + 47 + -3x Combine like terms: 12 + 47 = 59 -27 + 9x = 59 + -3x Solving -27 + 9x = 59 + -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. -27 + 9x + 3x = 59 + -3x + 3x Combine like terms: 9x + 3x = 12x -27 + 12x = 59 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 12x = 59 + 0 -27 + 12x = 59 Add '27' to each side of the equation. -27 + 27 + 12x = 59 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = 59 + 27 12x = 59 + 27 Combine like terms: 59 + 27 = 86 12x = 86 Divide each side by '12'. x = 7.166666667 Simplifying x = 7.166666667
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