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Simplifying 3(2x + -6) + -1(2x + 1) = 9 Reorder the terms: 3(-6 + 2x) + -1(2x + 1) = 9 (-6 * 3 + 2x * 3) + -1(2x + 1) = 9 (-18 + 6x) + -1(2x + 1) = 9 Reorder the terms: -18 + 6x + -1(1 + 2x) = 9 -18 + 6x + (1 * -1 + 2x * -1) = 9 -18 + 6x + (-1 + -2x) = 9 Reorder the terms: -18 + -1 + 6x + -2x = 9 Combine like terms: -18 + -1 = -19 -19 + 6x + -2x = 9 Combine like terms: 6x + -2x = 4x -19 + 4x = 9 Solving -19 + 4x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 4x = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 9 + 19 4x = 9 + 19 Combine like terms: 9 + 19 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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