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Simplifying -6(2x + 3) = -1(5x + -3) Reorder the terms: -6(3 + 2x) = -1(5x + -3) (3 * -6 + 2x * -6) = -1(5x + -3) (-18 + -12x) = -1(5x + -3) Reorder the terms: -18 + -12x = -1(-3 + 5x) -18 + -12x = (-3 * -1 + 5x * -1) -18 + -12x = (3 + -5x) Solving -18 + -12x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -18 + -12x + 5x = 3 + -5x + 5x Combine like terms: -12x + 5x = -7x -18 + -7x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + -7x = 3 + 0 -18 + -7x = 3 Add '18' to each side of the equation. -18 + 18 + -7x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 3 + 18 -7x = 3 + 18 Combine like terms: 3 + 18 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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