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Simplifying 3(5x + -2) + -3(2 + -6) = 8x + 12 Reorder the terms: 3(-2 + 5x) + -3(2 + -6) = 8x + 12 (-2 * 3 + 5x * 3) + -3(2 + -6) = 8x + 12 (-6 + 15x) + -3(2 + -6) = 8x + 12 Combine like terms: 2 + -6 = -4 -6 + 15x + -3(-4) = 8x + 12 Multiply -3 * -4 -6 + 15x + 12 = 8x + 12 Reorder the terms: -6 + 12 + 15x = 8x + 12 Combine like terms: -6 + 12 = 6 6 + 15x = 8x + 12 Reorder the terms: 6 + 15x = 12 + 8x Solving 6 + 15x = 12 + 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. 6 + 15x + -8x = 12 + 8x + -8x Combine like terms: 15x + -8x = 7x 6 + 7x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 7x = 12 + 0 6 + 7x = 12 Add '-6' to each side of the equation. 6 + -6 + 7x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 12 + -6 7x = 12 + -6 Combine like terms: 12 + -6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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