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Simplifying 12(x + -3) + -6(5x + -1) = 10 Reorder the terms: 12(-3 + x) + -6(5x + -1) = 10 (-3 * 12 + x * 12) + -6(5x + -1) = 10 (-36 + 12x) + -6(5x + -1) = 10 Reorder the terms: -36 + 12x + -6(-1 + 5x) = 10 -36 + 12x + (-1 * -6 + 5x * -6) = 10 -36 + 12x + (6 + -30x) = 10 Reorder the terms: -36 + 6 + 12x + -30x = 10 Combine like terms: -36 + 6 = -30 -30 + 12x + -30x = 10 Combine like terms: 12x + -30x = -18x -30 + -18x = 10 Solving -30 + -18x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -18x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -18x = 10 + 30 -18x = 10 + 30 Combine like terms: 10 + 30 = 40 -18x = 40 Divide each side by '-18'. x = -2.222222222 Simplifying x = -2.222222222
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