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Simplifying 3(x + 5) + -3(3x + -4) = 11 Reorder the terms: 3(5 + x) + -3(3x + -4) = 11 (5 * 3 + x * 3) + -3(3x + -4) = 11 (15 + 3x) + -3(3x + -4) = 11 Reorder the terms: 15 + 3x + -3(-4 + 3x) = 11 15 + 3x + (-4 * -3 + 3x * -3) = 11 15 + 3x + (12 + -9x) = 11 Reorder the terms: 15 + 12 + 3x + -9x = 11 Combine like terms: 15 + 12 = 27 27 + 3x + -9x = 11 Combine like terms: 3x + -9x = -6x 27 + -6x = 11 Solving 27 + -6x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -6x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 11 + -27 -6x = 11 + -27 Combine like terms: 11 + -27 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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