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Simplifying 7(x + 6) + 2(x + 6) = 7x + -7 Reorder the terms: 7(6 + x) + 2(x + 6) = 7x + -7 (6 * 7 + x * 7) + 2(x + 6) = 7x + -7 (42 + 7x) + 2(x + 6) = 7x + -7 Reorder the terms: 42 + 7x + 2(6 + x) = 7x + -7 42 + 7x + (6 * 2 + x * 2) = 7x + -7 42 + 7x + (12 + 2x) = 7x + -7 Reorder the terms: 42 + 12 + 7x + 2x = 7x + -7 Combine like terms: 42 + 12 = 54 54 + 7x + 2x = 7x + -7 Combine like terms: 7x + 2x = 9x 54 + 9x = 7x + -7 Reorder the terms: 54 + 9x = -7 + 7x Solving 54 + 9x = -7 + 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. 54 + 9x + -7x = -7 + 7x + -7x Combine like terms: 9x + -7x = 2x 54 + 2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + 2x = -7 + 0 54 + 2x = -7 Add '-54' to each side of the equation. 54 + -54 + 2x = -7 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = -7 + -54 2x = -7 + -54 Combine like terms: -7 + -54 = -61 2x = -61 Divide each side by '2'. x = -30.5 Simplifying x = -30.5
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