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Simplifying 3(5x + 2) = 2(4x + -6) Reorder the terms: 3(2 + 5x) = 2(4x + -6) (2 * 3 + 5x * 3) = 2(4x + -6) (6 + 15x) = 2(4x + -6) Reorder the terms: 6 + 15x = 2(-6 + 4x) 6 + 15x = (-6 * 2 + 4x * 2) 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 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571
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