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Simplifying 7(x + 2) = 3x + 5 + 7x Reorder the terms: 7(2 + x) = 3x + 5 + 7x (2 * 7 + x * 7) = 3x + 5 + 7x (14 + 7x) = 3x + 5 + 7x Reorder the terms: 14 + 7x = 5 + 3x + 7x Combine like terms: 3x + 7x = 10x 14 + 7x = 5 + 10x Solving 14 + 7x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 7x + -10x = 5 + 10x + -10x Combine like terms: 7x + -10x = -3x 14 + -3x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -3x = 5 + 0 14 + -3x = 5 Add '-14' to each side of the equation. 14 + -14 + -3x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 5 + -14 -3x = 5 + -14 Combine like terms: 5 + -14 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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