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Simplifying 7x + 3(-2x + 13) = 32 Reorder the terms: 7x + 3(13 + -2x) = 32 7x + (13 * 3 + -2x * 3) = 32 7x + (39 + -6x) = 32 Reorder the terms: 39 + 7x + -6x = 32 Combine like terms: 7x + -6x = 1x 39 + 1x = 32 Solving 39 + 1x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 1x = 32 + -39 Combine like terms: 39 + -39 = 0 0 + 1x = 32 + -39 1x = 32 + -39 Combine like terms: 32 + -39 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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