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Simplifying 43 + -1(5x + 60) = 5(x + 3) + x Reorder the terms: 43 + -1(60 + 5x) = 5(x + 3) + x 43 + (60 * -1 + 5x * -1) = 5(x + 3) + x 43 + (-60 + -5x) = 5(x + 3) + x Combine like terms: 43 + -60 = -17 -17 + -5x = 5(x + 3) + x Reorder the terms: -17 + -5x = 5(3 + x) + x -17 + -5x = (3 * 5 + x * 5) + x -17 + -5x = (15 + 5x) + x Combine like terms: 5x + x = 6x -17 + -5x = 15 + 6x Solving -17 + -5x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + -5x + -6x = 15 + 6x + -6x Combine like terms: -5x + -6x = -11x -17 + -11x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -11x = 15 + 0 -17 + -11x = 15 Add '17' to each side of the equation. -17 + 17 + -11x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -11x = 15 + 17 -11x = 15 + 17 Combine like terms: 15 + 17 = 32 -11x = 32 Divide each side by '-11'. x = -2.909090909 Simplifying x = -2.909090909
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