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Simplifying 7(x + 1) + 2 = -2(x + -3) + -1 Reorder the terms: 7(1 + x) + 2 = -2(x + -3) + -1 (1 * 7 + x * 7) + 2 = -2(x + -3) + -1 (7 + 7x) + 2 = -2(x + -3) + -1 Reorder the terms: 7 + 2 + 7x = -2(x + -3) + -1 Combine like terms: 7 + 2 = 9 9 + 7x = -2(x + -3) + -1 Reorder the terms: 9 + 7x = -2(-3 + x) + -1 9 + 7x = (-3 * -2 + x * -2) + -1 9 + 7x = (6 + -2x) + -1 Reorder the terms: 9 + 7x = 6 + -1 + -2x Combine like terms: 6 + -1 = 5 9 + 7x = 5 + -2x Solving 9 + 7x = 5 + -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. 9 + 7x + 2x = 5 + -2x + 2x Combine like terms: 7x + 2x = 9x 9 + 9x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 9x = 5 + 0 9 + 9x = 5 Add '-9' to each side of the equation. 9 + -9 + 9x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 5 + -9 9x = 5 + -9 Combine like terms: 5 + -9 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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