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Simplifying -5(x + 3) = -8(x + 3) Reorder the terms: -5(3 + x) = -8(x + 3) (3 * -5 + x * -5) = -8(x + 3) (-15 + -5x) = -8(x + 3) Reorder the terms: -15 + -5x = -8(3 + x) -15 + -5x = (3 * -8 + x * -8) -15 + -5x = (-24 + -8x) Solving -15 + -5x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + -5x + 8x = -24 + -8x + 8x Combine like terms: -5x + 8x = 3x -15 + 3x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 3x = -24 + 0 -15 + 3x = -24 Add '15' to each side of the equation. -15 + 15 + 3x = -24 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -24 + 15 3x = -24 + 15 Combine like terms: -24 + 15 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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