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Simplifying 6(4x + -3) + 7(x + 1) = 9 Reorder the terms: 6(-3 + 4x) + 7(x + 1) = 9 (-3 * 6 + 4x * 6) + 7(x + 1) = 9 (-18 + 24x) + 7(x + 1) = 9 Reorder the terms: -18 + 24x + 7(1 + x) = 9 -18 + 24x + (1 * 7 + x * 7) = 9 -18 + 24x + (7 + 7x) = 9 Reorder the terms: -18 + 7 + 24x + 7x = 9 Combine like terms: -18 + 7 = -11 -11 + 24x + 7x = 9 Combine like terms: 24x + 7x = 31x -11 + 31x = 9 Solving -11 + 31x = 9 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 + 31x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 31x = 9 + 11 31x = 9 + 11 Combine like terms: 9 + 11 = 20 31x = 20 Divide each side by '31'. x = 0.6451612903 Simplifying x = 0.6451612903
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