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Simplifying 5 + 8(x + -3) = 6 + -5(x + -8) Reorder the terms: 5 + 8(-3 + x) = 6 + -5(x + -8) 5 + (-3 * 8 + x * 8) = 6 + -5(x + -8) 5 + (-24 + 8x) = 6 + -5(x + -8) Combine like terms: 5 + -24 = -19 -19 + 8x = 6 + -5(x + -8) Reorder the terms: -19 + 8x = 6 + -5(-8 + x) -19 + 8x = 6 + (-8 * -5 + x * -5) -19 + 8x = 6 + (40 + -5x) Combine like terms: 6 + 40 = 46 -19 + 8x = 46 + -5x Solving -19 + 8x = 46 + -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. -19 + 8x + 5x = 46 + -5x + 5x Combine like terms: 8x + 5x = 13x -19 + 13x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 -19 + 13x = 46 + 0 -19 + 13x = 46 Add '19' to each side of the equation. -19 + 19 + 13x = 46 + 19 Combine like terms: -19 + 19 = 0 0 + 13x = 46 + 19 13x = 46 + 19 Combine like terms: 46 + 19 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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