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Simplifying 67x + -27 = 3x + 8(x + -3) Reorder the terms: -27 + 67x = 3x + 8(x + -3) Reorder the terms: -27 + 67x = 3x + 8(-3 + x) -27 + 67x = 3x + (-3 * 8 + x * 8) -27 + 67x = 3x + (-24 + 8x) Reorder the terms: -27 + 67x = -24 + 3x + 8x Combine like terms: 3x + 8x = 11x -27 + 67x = -24 + 11x Solving -27 + 67x = -24 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -27 + 67x + -11x = -24 + 11x + -11x Combine like terms: 67x + -11x = 56x -27 + 56x = -24 + 11x + -11x Combine like terms: 11x + -11x = 0 -27 + 56x = -24 + 0 -27 + 56x = -24 Add '27' to each side of the equation. -27 + 27 + 56x = -24 + 27 Combine like terms: -27 + 27 = 0 0 + 56x = -24 + 27 56x = -24 + 27 Combine like terms: -24 + 27 = 3 56x = 3 Divide each side by '56'. x = 0.05357142857 Simplifying x = 0.05357142857
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