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Simplifying 2(x + 1) + 5 = -7(x + 1) + -13 Reorder the terms: 2(1 + x) + 5 = -7(x + 1) + -13 (1 * 2 + x * 2) + 5 = -7(x + 1) + -13 (2 + 2x) + 5 = -7(x + 1) + -13 Reorder the terms: 2 + 5 + 2x = -7(x + 1) + -13 Combine like terms: 2 + 5 = 7 7 + 2x = -7(x + 1) + -13 Reorder the terms: 7 + 2x = -7(1 + x) + -13 7 + 2x = (1 * -7 + x * -7) + -13 7 + 2x = (-7 + -7x) + -13 Reorder the terms: 7 + 2x = -7 + -13 + -7x Combine like terms: -7 + -13 = -20 7 + 2x = -20 + -7x Solving 7 + 2x = -20 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + 2x + 7x = -20 + -7x + 7x Combine like terms: 2x + 7x = 9x 7 + 9x = -20 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 9x = -20 + 0 7 + 9x = -20 Add '-7' to each side of the equation. 7 + -7 + 9x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -20 + -7 9x = -20 + -7 Combine like terms: -20 + -7 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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