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Simplifying 4x + -5(3x + -1) = 3(x + 6) + -1 Reorder the terms: 4x + -5(-1 + 3x) = 3(x + 6) + -1 4x + (-1 * -5 + 3x * -5) = 3(x + 6) + -1 4x + (5 + -15x) = 3(x + 6) + -1 Reorder the terms: 5 + 4x + -15x = 3(x + 6) + -1 Combine like terms: 4x + -15x = -11x 5 + -11x = 3(x + 6) + -1 Reorder the terms: 5 + -11x = 3(6 + x) + -1 5 + -11x = (6 * 3 + x * 3) + -1 5 + -11x = (18 + 3x) + -1 Reorder the terms: 5 + -11x = 18 + -1 + 3x Combine like terms: 18 + -1 = 17 5 + -11x = 17 + 3x Solving 5 + -11x = 17 + 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. 5 + -11x + -3x = 17 + 3x + -3x Combine like terms: -11x + -3x = -14x 5 + -14x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -14x = 17 + 0 5 + -14x = 17 Add '-5' to each side of the equation. 5 + -5 + -14x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = 17 + -5 -14x = 17 + -5 Combine like terms: 17 + -5 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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