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Simplifying 7(x + 1) + 4 = -9(x + -1) + -5 Reorder the terms: 7(1 + x) + 4 = -9(x + -1) + -5 (1 * 7 + x * 7) + 4 = -9(x + -1) + -5 (7 + 7x) + 4 = -9(x + -1) + -5 Reorder the terms: 7 + 4 + 7x = -9(x + -1) + -5 Combine like terms: 7 + 4 = 11 11 + 7x = -9(x + -1) + -5 Reorder the terms: 11 + 7x = -9(-1 + x) + -5 11 + 7x = (-1 * -9 + x * -9) + -5 11 + 7x = (9 + -9x) + -5 Reorder the terms: 11 + 7x = 9 + -5 + -9x Combine like terms: 9 + -5 = 4 11 + 7x = 4 + -9x Solving 11 + 7x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 11 + 7x + 9x = 4 + -9x + 9x Combine like terms: 7x + 9x = 16x 11 + 16x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 11 + 16x = 4 + 0 11 + 16x = 4 Add '-11' to each side of the equation. 11 + -11 + 16x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 16x = 4 + -11 16x = 4 + -11 Combine like terms: 4 + -11 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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