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Simplifying 3(6x + 1) + -2(7x + -4) = 43 Reorder the terms: 3(1 + 6x) + -2(7x + -4) = 43 (1 * 3 + 6x * 3) + -2(7x + -4) = 43 (3 + 18x) + -2(7x + -4) = 43 Reorder the terms: 3 + 18x + -2(-4 + 7x) = 43 3 + 18x + (-4 * -2 + 7x * -2) = 43 3 + 18x + (8 + -14x) = 43 Reorder the terms: 3 + 8 + 18x + -14x = 43 Combine like terms: 3 + 8 = 11 11 + 18x + -14x = 43 Combine like terms: 18x + -14x = 4x 11 + 4x = 43 Solving 11 + 4x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = 43 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 43 + -11 4x = 43 + -11 Combine like terms: 43 + -11 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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