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Simplifying 5(x + 1) + -2(x + 1) = 22 Reorder the terms: 5(1 + x) + -2(x + 1) = 22 (1 * 5 + x * 5) + -2(x + 1) = 22 (5 + 5x) + -2(x + 1) = 22 Reorder the terms: 5 + 5x + -2(1 + x) = 22 5 + 5x + (1 * -2 + x * -2) = 22 5 + 5x + (-2 + -2x) = 22 Reorder the terms: 5 + -2 + 5x + -2x = 22 Combine like terms: 5 + -2 = 3 3 + 5x + -2x = 22 Combine like terms: 5x + -2x = 3x 3 + 3x = 22 Solving 3 + 3x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 22 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 22 + -3 3x = 22 + -3 Combine like terms: 22 + -3 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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