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Simplifying 3(2x + 1) = 6 + 7 + -4x Reorder the terms: 3(1 + 2x) = 6 + 7 + -4x (1 * 3 + 2x * 3) = 6 + 7 + -4x (3 + 6x) = 6 + 7 + -4x Combine like terms: 6 + 7 = 13 3 + 6x = 13 + -4x Solving 3 + 6x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 6x + 4x = 13 + -4x + 4x Combine like terms: 6x + 4x = 10x 3 + 10x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 10x = 13 + 0 3 + 10x = 13 Add '-3' to each side of the equation. 3 + -3 + 10x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 13 + -3 10x = 13 + -3 Combine like terms: 13 + -3 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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