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Simplifying 7(2x + 3) + -3(2x + 1) = 10 Reorder the terms: 7(3 + 2x) + -3(2x + 1) = 10 (3 * 7 + 2x * 7) + -3(2x + 1) = 10 (21 + 14x) + -3(2x + 1) = 10 Reorder the terms: 21 + 14x + -3(1 + 2x) = 10 21 + 14x + (1 * -3 + 2x * -3) = 10 21 + 14x + (-3 + -6x) = 10 Reorder the terms: 21 + -3 + 14x + -6x = 10 Combine like terms: 21 + -3 = 18 18 + 14x + -6x = 10 Combine like terms: 14x + -6x = 8x 18 + 8x = 10 Solving 18 + 8x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 10 + -18 8x = 10 + -18 Combine like terms: 10 + -18 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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