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Simplifying 3(10x + -6) = 9(7x + 1) Reorder the terms: 3(-6 + 10x) = 9(7x + 1) (-6 * 3 + 10x * 3) = 9(7x + 1) (-18 + 30x) = 9(7x + 1) Reorder the terms: -18 + 30x = 9(1 + 7x) -18 + 30x = (1 * 9 + 7x * 9) -18 + 30x = (9 + 63x) Solving -18 + 30x = 9 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -18 + 30x + -63x = 9 + 63x + -63x Combine like terms: 30x + -63x = -33x -18 + -33x = 9 + 63x + -63x Combine like terms: 63x + -63x = 0 -18 + -33x = 9 + 0 -18 + -33x = 9 Add '18' to each side of the equation. -18 + 18 + -33x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -33x = 9 + 18 -33x = 9 + 18 Combine like terms: 9 + 18 = 27 -33x = 27 Divide each side by '-33'. x = -0.8181818182 Simplifying x = -0.8181818182
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