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Simplifying 5x + 3(2x + -8) = 8x + 14 + -2x Reorder the terms: 5x + 3(-8 + 2x) = 8x + 14 + -2x 5x + (-8 * 3 + 2x * 3) = 8x + 14 + -2x 5x + (-24 + 6x) = 8x + 14 + -2x Reorder the terms: -24 + 5x + 6x = 8x + 14 + -2x Combine like terms: 5x + 6x = 11x -24 + 11x = 8x + 14 + -2x Reorder the terms: -24 + 11x = 14 + 8x + -2x Combine like terms: 8x + -2x = 6x -24 + 11x = 14 + 6x Solving -24 + 11x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 11x + -6x = 14 + 6x + -6x Combine like terms: 11x + -6x = 5x -24 + 5x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 5x = 14 + 0 -24 + 5x = 14 Add '24' to each side of the equation. -24 + 24 + 5x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 14 + 24 5x = 14 + 24 Combine like terms: 14 + 24 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6
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