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Simplifying -9(2x + -3) + -6(3x + -5) + -1(-3) = 12 Reorder the terms: -9(-3 + 2x) + -6(3x + -5) + -1(-3) = 12 (-3 * -9 + 2x * -9) + -6(3x + -5) + -1(-3) = 12 (27 + -18x) + -6(3x + -5) + -1(-3) = 12 Reorder the terms: 27 + -18x + -6(-5 + 3x) + -1(-3) = 12 27 + -18x + (-5 * -6 + 3x * -6) + -1(-3) = 12 27 + -18x + (30 + -18x) + -1(-3) = 12 Multiply -1 * -3 27 + -18x + 30 + -18x + 3 = 12 Reorder the terms: 27 + 30 + 3 + -18x + -18x = 12 Combine like terms: 27 + 30 = 57 57 + 3 + -18x + -18x = 12 Combine like terms: 57 + 3 = 60 60 + -18x + -18x = 12 Combine like terms: -18x + -18x = -36x 60 + -36x = 12 Solving 60 + -36x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -36x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -36x = 12 + -60 -36x = 12 + -60 Combine like terms: 12 + -60 = -48 -36x = -48 Divide each side by '-36'. x = 1.333333333 Simplifying x = 1.333333333
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