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Simplifying -3(2x + 4) = -5(x + -3) Reorder the terms: -3(4 + 2x) = -5(x + -3) (4 * -3 + 2x * -3) = -5(x + -3) (-12 + -6x) = -5(x + -3) Reorder the terms: -12 + -6x = -5(-3 + x) -12 + -6x = (-3 * -5 + x * -5) -12 + -6x = (15 + -5x) Solving -12 + -6x = 15 + -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. -12 + -6x + 5x = 15 + -5x + 5x Combine like terms: -6x + 5x = -1x -12 + -1x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + -1x = 15 + 0 -12 + -1x = 15 Add '12' to each side of the equation. -12 + 12 + -1x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 15 + 12 -1x = 15 + 12 Combine like terms: 15 + 12 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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