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Simplifying 5x + -15 = -8(x + -3) Reorder the terms: -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 = 13x -15 + 13x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 13x = 24 + 0 -15 + 13x = 24 Add '15' to each side of the equation. -15 + 15 + 13x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 24 + 15 13x = 24 + 15 Combine like terms: 24 + 15 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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