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Simplifying -6(3x + -5) = -1(x + -2) Reorder the terms: -6(-5 + 3x) = -1(x + -2) (-5 * -6 + 3x * -6) = -1(x + -2) (30 + -18x) = -1(x + -2) Reorder the terms: 30 + -18x = -1(-2 + x) 30 + -18x = (-2 * -1 + x * -1) 30 + -18x = (2 + -1x) Solving 30 + -18x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + -18x + x = 2 + -1x + x Combine like terms: -18x + x = -17x 30 + -17x = 2 + -1x + x Combine like terms: -1x + x = 0 30 + -17x = 2 + 0 30 + -17x = 2 Add '-30' to each side of the equation. 30 + -30 + -17x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -17x = 2 + -30 -17x = 2 + -30 Combine like terms: 2 + -30 = -28 -17x = -28 Divide each side by '-17'. x = 1.647058824 Simplifying x = 1.647058824
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