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Simplifying 5(x + 1) = -4x + 67 Reorder the terms: 5(1 + x) = -4x + 67 (1 * 5 + x * 5) = -4x + 67 (5 + 5x) = -4x + 67 Reorder the terms: 5 + 5x = 67 + -4x Solving 5 + 5x = 67 + -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. 5 + 5x + 4x = 67 + -4x + 4x Combine like terms: 5x + 4x = 9x 5 + 9x = 67 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 9x = 67 + 0 5 + 9x = 67 Add '-5' to each side of the equation. 5 + -5 + 9x = 67 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 67 + -5 9x = 67 + -5 Combine like terms: 67 + -5 = 62 9x = 62 Divide each side by '9'. x = 6.888888889 Simplifying x = 6.888888889
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