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Simplifying 2(3x + 5) = 8x + -2 Reorder the terms: 2(5 + 3x) = 8x + -2 (5 * 2 + 3x * 2) = 8x + -2 (10 + 6x) = 8x + -2 Reorder the terms: 10 + 6x = -2 + 8x Solving 10 + 6x = -2 + 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. 10 + 6x + -8x = -2 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -2 + 0 10 + -2x = -2 Add '-10' to each side of the equation. 10 + -10 + -2x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -2 + -10 -2x = -2 + -10 Combine like terms: -2 + -10 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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