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Simplifying 2(32 + -3x) = 71 + -7x (32 * 2 + -3x * 2) = 71 + -7x (64 + -6x) = 71 + -7x Solving 64 + -6x = 71 + -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. 64 + -6x + 7x = 71 + -7x + 7x Combine like terms: -6x + 7x = 1x 64 + 1x = 71 + -7x + 7x Combine like terms: -7x + 7x = 0 64 + 1x = 71 + 0 64 + 1x = 71 Add '-64' to each side of the equation. 64 + -64 + 1x = 71 + -64 Combine like terms: 64 + -64 = 0 0 + 1x = 71 + -64 1x = 71 + -64 Combine like terms: 71 + -64 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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