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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 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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