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Simplifying -3(x + -1) + -3(3x + -6) = 5(x + -4) + -14 Reorder the terms: -3(-1 + x) + -3(3x + -6) = 5(x + -4) + -14 (-1 * -3 + x * -3) + -3(3x + -6) = 5(x + -4) + -14 (3 + -3x) + -3(3x + -6) = 5(x + -4) + -14 Reorder the terms: 3 + -3x + -3(-6 + 3x) = 5(x + -4) + -14 3 + -3x + (-6 * -3 + 3x * -3) = 5(x + -4) + -14 3 + -3x + (18 + -9x) = 5(x + -4) + -14 Reorder the terms: 3 + 18 + -3x + -9x = 5(x + -4) + -14 Combine like terms: 3 + 18 = 21 21 + -3x + -9x = 5(x + -4) + -14 Combine like terms: -3x + -9x = -12x 21 + -12x = 5(x + -4) + -14 Reorder the terms: 21 + -12x = 5(-4 + x) + -14 21 + -12x = (-4 * 5 + x * 5) + -14 21 + -12x = (-20 + 5x) + -14 Reorder the terms: 21 + -12x = -20 + -14 + 5x Combine like terms: -20 + -14 = -34 21 + -12x = -34 + 5x Solving 21 + -12x = -34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + -12x + -5x = -34 + 5x + -5x Combine like terms: -12x + -5x = -17x 21 + -17x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -17x = -34 + 0 21 + -17x = -34 Add '-21' to each side of the equation. 21 + -21 + -17x = -34 + -21 Combine like terms: 21 + -21 = 0 0 + -17x = -34 + -21 -17x = -34 + -21 Combine like terms: -34 + -21 = -55 -17x = -55 Divide each side by '-17'. x = 3.235294118 Simplifying x = 3.235294118
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