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Simplifying 7(x + 3) + -2(3x + -5) = 7 Reorder the terms: 7(3 + x) + -2(3x + -5) = 7 (3 * 7 + x * 7) + -2(3x + -5) = 7 (21 + 7x) + -2(3x + -5) = 7 Reorder the terms: 21 + 7x + -2(-5 + 3x) = 7 21 + 7x + (-5 * -2 + 3x * -2) = 7 21 + 7x + (10 + -6x) = 7 Reorder the terms: 21 + 10 + 7x + -6x = 7 Combine like terms: 21 + 10 = 31 31 + 7x + -6x = 7 Combine like terms: 7x + -6x = 1x 31 + 1x = 7 Solving 31 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 1x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 7 + -31 1x = 7 + -31 Combine like terms: 7 + -31 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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