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Simplifying 7(x + 2) + 3(x + 2) = 7x + -7 Reorder the terms: 7(2 + x) + 3(x + 2) = 7x + -7 (2 * 7 + x * 7) + 3(x + 2) = 7x + -7 (14 + 7x) + 3(x + 2) = 7x + -7 Reorder the terms: 14 + 7x + 3(2 + x) = 7x + -7 14 + 7x + (2 * 3 + x * 3) = 7x + -7 14 + 7x + (6 + 3x) = 7x + -7 Reorder the terms: 14 + 6 + 7x + 3x = 7x + -7 Combine like terms: 14 + 6 = 20 20 + 7x + 3x = 7x + -7 Combine like terms: 7x + 3x = 10x 20 + 10x = 7x + -7 Reorder the terms: 20 + 10x = -7 + 7x Solving 20 + 10x = -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. 20 + 10x + -7x = -7 + 7x + -7x Combine like terms: 10x + -7x = 3x 20 + 3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 3x = -7 + 0 20 + 3x = -7 Add '-20' to each side of the equation. 20 + -20 + 3x = -7 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = -7 + -20 3x = -7 + -20 Combine like terms: -7 + -20 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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