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Simplifying -3(4x + 5) = -6(x + -3) Reorder the terms: -3(5 + 4x) = -6(x + -3) (5 * -3 + 4x * -3) = -6(x + -3) (-15 + -12x) = -6(x + -3) Reorder the terms: -15 + -12x = -6(-3 + x) -15 + -12x = (-3 * -6 + x * -6) -15 + -12x = (18 + -6x) Solving -15 + -12x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + -12x + 6x = 18 + -6x + 6x Combine like terms: -12x + 6x = -6x -15 + -6x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + -6x = 18 + 0 -15 + -6x = 18 Add '15' to each side of the equation. -15 + 15 + -6x = 18 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 18 + 15 -6x = 18 + 15 Combine like terms: 18 + 15 = 33 -6x = 33 Divide each side by '-6'. x = -5.5 Simplifying x = -5.5
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