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Simplifying -2(6x + 1) = -3(3 + -1x) Reorder the terms: -2(1 + 6x) = -3(3 + -1x) (1 * -2 + 6x * -2) = -3(3 + -1x) (-2 + -12x) = -3(3 + -1x) -2 + -12x = (3 * -3 + -1x * -3) -2 + -12x = (-9 + 3x) Solving -2 + -12x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -12x + -3x = -9 + 3x + -3x Combine like terms: -12x + -3x = -15x -2 + -15x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -15x = -9 + 0 -2 + -15x = -9 Add '2' to each side of the equation. -2 + 2 + -15x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = -9 + 2 -15x = -9 + 2 Combine like terms: -9 + 2 = -7 -15x = -7 Divide each side by '-15'. x = 0.4666666667 Simplifying x = 0.4666666667
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