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Simplifying 2(3x + -2) + -3(6x + 3) = 10 Reorder the terms: 2(-2 + 3x) + -3(6x + 3) = 10 (-2 * 2 + 3x * 2) + -3(6x + 3) = 10 (-4 + 6x) + -3(6x + 3) = 10 Reorder the terms: -4 + 6x + -3(3 + 6x) = 10 -4 + 6x + (3 * -3 + 6x * -3) = 10 -4 + 6x + (-9 + -18x) = 10 Reorder the terms: -4 + -9 + 6x + -18x = 10 Combine like terms: -4 + -9 = -13 -13 + 6x + -18x = 10 Combine like terms: 6x + -18x = -12x -13 + -12x = 10 Solving -13 + -12x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -12x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -12x = 10 + 13 -12x = 10 + 13 Combine like terms: 10 + 13 = 23 -12x = 23 Divide each side by '-12'. x = -1.916666667 Simplifying x = -1.916666667
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