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Simplifying 2(3x + 5) = 10 + -8x Reorder the terms: 2(5 + 3x) = 10 + -8x (5 * 2 + 3x * 2) = 10 + -8x (10 + 6x) = 10 + -8x Add '-10' to each side of the equation. 10 + -10 + 6x = 10 + -10 + -8x Combine like terms: 10 + -10 = 0 0 + 6x = 10 + -10 + -8x 6x = 10 + -10 + -8x Combine like terms: 10 + -10 = 0 6x = 0 + -8x 6x = -8x Solving 6x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6x + 8x = -8x + 8x Combine like terms: 6x + 8x = 14x 14x = -8x + 8x Combine like terms: -8x + 8x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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