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Simplifying 4(3x + -1) + 2(9x + 1) = 18 Reorder the terms: 4(-1 + 3x) + 2(9x + 1) = 18 (-1 * 4 + 3x * 4) + 2(9x + 1) = 18 (-4 + 12x) + 2(9x + 1) = 18 Reorder the terms: -4 + 12x + 2(1 + 9x) = 18 -4 + 12x + (1 * 2 + 9x * 2) = 18 -4 + 12x + (2 + 18x) = 18 Reorder the terms: -4 + 2 + 12x + 18x = 18 Combine like terms: -4 + 2 = -2 -2 + 12x + 18x = 18 Combine like terms: 12x + 18x = 30x -2 + 30x = 18 Solving -2 + 30x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 30x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 30x = 18 + 2 30x = 18 + 2 Combine like terms: 18 + 2 = 20 30x = 20 Divide each side by '30'. x = 0.6666666667 Simplifying x = 0.6666666667
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