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Simplifying 5(x + 1) = -2x + 9 Reorder the terms: 5(1 + x) = -2x + 9 (1 * 5 + x * 5) = -2x + 9 (5 + 5x) = -2x + 9 Reorder the terms: 5 + 5x = 9 + -2x Solving 5 + 5x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 5x + 2x = 9 + -2x + 2x Combine like terms: 5x + 2x = 7x 5 + 7x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 7x = 9 + 0 5 + 7x = 9 Add '-5' to each side of the equation. 5 + -5 + 7x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 9 + -5 7x = 9 + -5 Combine like terms: 9 + -5 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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