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Simplifying (3x + 5) * 2 = 8x + -6 Reorder the terms: (5 + 3x) * 2 = 8x + -6 Reorder the terms for easier multiplication: 2(5 + 3x) = 8x + -6 (5 * 2 + 3x * 2) = 8x + -6 (10 + 6x) = 8x + -6 Reorder the terms: 10 + 6x = -6 + 8x Solving 10 + 6x = -6 + 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 = -6 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -6 + 0 10 + -2x = -6 Add '-10' to each side of the equation. 10 + -10 + -2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -6 + -10 -2x = -6 + -10 Combine like terms: -6 + -10 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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