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Simplifying -2(3x + 4) = -5(x + -3) Reorder the terms: -2(4 + 3x) = -5(x + -3) (4 * -2 + 3x * -2) = -5(x + -3) (-8 + -6x) = -5(x + -3) Reorder the terms: -8 + -6x = -5(-3 + x) -8 + -6x = (-3 * -5 + x * -5) -8 + -6x = (15 + -5x) Solving -8 + -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. -8 + -6x + 5x = 15 + -5x + 5x Combine like terms: -6x + 5x = -1x -8 + -1x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + -1x = 15 + 0 -8 + -1x = 15 Add '8' to each side of the equation. -8 + 8 + -1x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 15 + 8 -1x = 15 + 8 Combine like terms: 15 + 8 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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