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Simplifying 9(x + -3) = 3(x + -4) + 3 Reorder the terms: 9(-3 + x) = 3(x + -4) + 3 (-3 * 9 + x * 9) = 3(x + -4) + 3 (-27 + 9x) = 3(x + -4) + 3 Reorder the terms: -27 + 9x = 3(-4 + x) + 3 -27 + 9x = (-4 * 3 + x * 3) + 3 -27 + 9x = (-12 + 3x) + 3 Reorder the terms: -27 + 9x = -12 + 3 + 3x Combine like terms: -12 + 3 = -9 -27 + 9x = -9 + 3x Solving -27 + 9x = -9 + 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 = -9 + 3x + -3x Combine like terms: 9x + -3x = 6x -27 + 6x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 6x = -9 + 0 -27 + 6x = -9 Add '27' to each side of the equation. -27 + 27 + 6x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = -9 + 27 6x = -9 + 27 Combine like terms: -9 + 27 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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