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Simplifying 7(x + 2) + 5(x + 2) = 7x + -7 Reorder the terms: 7(2 + x) + 5(x + 2) = 7x + -7 (2 * 7 + x * 7) + 5(x + 2) = 7x + -7 (14 + 7x) + 5(x + 2) = 7x + -7 Reorder the terms: 14 + 7x + 5(2 + x) = 7x + -7 14 + 7x + (2 * 5 + x * 5) = 7x + -7 14 + 7x + (10 + 5x) = 7x + -7 Reorder the terms: 14 + 10 + 7x + 5x = 7x + -7 Combine like terms: 14 + 10 = 24 24 + 7x + 5x = 7x + -7 Combine like terms: 7x + 5x = 12x 24 + 12x = 7x + -7 Reorder the terms: 24 + 12x = -7 + 7x Solving 24 + 12x = -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. 24 + 12x + -7x = -7 + 7x + -7x Combine like terms: 12x + -7x = 5x 24 + 5x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 5x = -7 + 0 24 + 5x = -7 Add '-24' to each side of the equation. 24 + -24 + 5x = -7 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = -7 + -24 5x = -7 + -24 Combine like terms: -7 + -24 = -31 5x = -31 Divide each side by '5'. x = -6.2 Simplifying x = -6.2
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