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Simplifying 4 + -5(3x + -1) = -4x + 42 Reorder the terms: 4 + -5(-1 + 3x) = -4x + 42 4 + (-1 * -5 + 3x * -5) = -4x + 42 4 + (5 + -15x) = -4x + 42 Combine like terms: 4 + 5 = 9 9 + -15x = -4x + 42 Reorder the terms: 9 + -15x = 42 + -4x Solving 9 + -15x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + -15x + 4x = 42 + -4x + 4x Combine like terms: -15x + 4x = -11x 9 + -11x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + -11x = 42 + 0 9 + -11x = 42 Add '-9' to each side of the equation. 9 + -9 + -11x = 42 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = 42 + -9 -11x = 42 + -9 Combine like terms: 42 + -9 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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