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Simplifying 5x + 3(2x + -8) = 2(x + 6) Reorder the terms: 5x + 3(-8 + 2x) = 2(x + 6) 5x + (-8 * 3 + 2x * 3) = 2(x + 6) 5x + (-24 + 6x) = 2(x + 6) Reorder the terms: -24 + 5x + 6x = 2(x + 6) Combine like terms: 5x + 6x = 11x -24 + 11x = 2(x + 6) Reorder the terms: -24 + 11x = 2(6 + x) -24 + 11x = (6 * 2 + x * 2) -24 + 11x = (12 + 2x) Solving -24 + 11x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 11x + -2x = 12 + 2x + -2x Combine like terms: 11x + -2x = 9x -24 + 9x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 9x = 12 + 0 -24 + 9x = 12 Add '24' to each side of the equation. -24 + 24 + 9x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 12 + 24 9x = 12 + 24 Combine like terms: 12 + 24 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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