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Simplifying 8(x + -3) = 13(x + 5) Reorder the terms: 8(-3 + x) = 13(x + 5) (-3 * 8 + x * 8) = 13(x + 5) (-24 + 8x) = 13(x + 5) Reorder the terms: -24 + 8x = 13(5 + x) -24 + 8x = (5 * 13 + x * 13) -24 + 8x = (65 + 13x) Solving -24 + 8x = 65 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -24 + 8x + -13x = 65 + 13x + -13x Combine like terms: 8x + -13x = -5x -24 + -5x = 65 + 13x + -13x Combine like terms: 13x + -13x = 0 -24 + -5x = 65 + 0 -24 + -5x = 65 Add '24' to each side of the equation. -24 + 24 + -5x = 65 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 65 + 24 -5x = 65 + 24 Combine like terms: 65 + 24 = 89 -5x = 89 Divide each side by '-5'. x = -17.8 Simplifying x = -17.8
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