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Simplifying 7(x + 1) + 38 = -2x Reorder the terms: 7(1 + x) + 38 = -2x (1 * 7 + x * 7) + 38 = -2x (7 + 7x) + 38 = -2x Reorder the terms: 7 + 38 + 7x = -2x Combine like terms: 7 + 38 = 45 45 + 7x = -2x Solving 45 + 7x = -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. 45 + 7x + 2x = -2x + 2x Combine like terms: 7x + 2x = 9x 45 + 9x = -2x + 2x Combine like terms: -2x + 2x = 0 45 + 9x = 0 Add '-45' to each side of the equation. 45 + -45 + 9x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 0 + -45 9x = 0 + -45 Combine like terms: 0 + -45 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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