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Simplifying 5 + 6(x + -4) = 10 + -5(x + -8) Reorder the terms: 5 + 6(-4 + x) = 10 + -5(x + -8) 5 + (-4 * 6 + x * 6) = 10 + -5(x + -8) 5 + (-24 + 6x) = 10 + -5(x + -8) Combine like terms: 5 + -24 = -19 -19 + 6x = 10 + -5(x + -8) Reorder the terms: -19 + 6x = 10 + -5(-8 + x) -19 + 6x = 10 + (-8 * -5 + x * -5) -19 + 6x = 10 + (40 + -5x) Combine like terms: 10 + 40 = 50 -19 + 6x = 50 + -5x Solving -19 + 6x = 50 + -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 + 6x + 5x = 50 + -5x + 5x Combine like terms: 6x + 5x = 11x -19 + 11x = 50 + -5x + 5x Combine like terms: -5x + 5x = 0 -19 + 11x = 50 + 0 -19 + 11x = 50 Add '19' to each side of the equation. -19 + 19 + 11x = 50 + 19 Combine like terms: -19 + 19 = 0 0 + 11x = 50 + 19 11x = 50 + 19 Combine like terms: 50 + 19 = 69 11x = 69 Divide each side by '11'. x = 6.272727273 Simplifying x = 6.272727273
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