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Simplifying 3(x + -8) = 5(-2x + 11) Reorder the terms: 3(-8 + x) = 5(-2x + 11) (-8 * 3 + x * 3) = 5(-2x + 11) (-24 + 3x) = 5(-2x + 11) Reorder the terms: -24 + 3x = 5(11 + -2x) -24 + 3x = (11 * 5 + -2x * 5) -24 + 3x = (55 + -10x) Solving -24 + 3x = 55 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -24 + 3x + 10x = 55 + -10x + 10x Combine like terms: 3x + 10x = 13x -24 + 13x = 55 + -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 13x = 55 + 0 -24 + 13x = 55 Add '24' to each side of the equation. -24 + 24 + 13x = 55 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 55 + 24 13x = 55 + 24 Combine like terms: 55 + 24 = 79 13x = 79 Divide each side by '13'. x = 6.076923077 Simplifying x = 6.076923077
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