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Simplifying 7(x + 1) = -2x + 38 Reorder the terms: 7(1 + x) = -2x + 38 (1 * 7 + x * 7) = -2x + 38 (7 + 7x) = -2x + 38 Reorder the terms: 7 + 7x = 38 + -2x Solving 7 + 7x = 38 + -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. 7 + 7x + 2x = 38 + -2x + 2x Combine like terms: 7x + 2x = 9x 7 + 9x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 9x = 38 + 0 7 + 9x = 38 Add '-7' to each side of the equation. 7 + -7 + 9x = 38 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 38 + -7 9x = 38 + -7 Combine like terms: 38 + -7 = 31 9x = 31 Divide each side by '9'. x = 3.444444444 Simplifying x = 3.444444444
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