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Simplifying 7(x + 2) + -3(x + -7) = 3 Reorder the terms: 7(2 + x) + -3(x + -7) = 3 (2 * 7 + x * 7) + -3(x + -7) = 3 (14 + 7x) + -3(x + -7) = 3 Reorder the terms: 14 + 7x + -3(-7 + x) = 3 14 + 7x + (-7 * -3 + x * -3) = 3 14 + 7x + (21 + -3x) = 3 Reorder the terms: 14 + 21 + 7x + -3x = 3 Combine like terms: 14 + 21 = 35 35 + 7x + -3x = 3 Combine like terms: 7x + -3x = 4x 35 + 4x = 3 Solving 35 + 4x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 4x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 3 + -35 4x = 3 + -35 Combine like terms: 3 + -35 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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