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Simplifying 3(6 + 5x) = 2(-5 + 4x) (6 * 3 + 5x * 3) = 2(-5 + 4x) (18 + 15x) = 2(-5 + 4x) 18 + 15x = (-5 * 2 + 4x * 2) 18 + 15x = (-10 + 8x) Solving 18 + 15x = -10 + 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. 18 + 15x + -8x = -10 + 8x + -8x Combine like terms: 15x + -8x = 7x 18 + 7x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 7x = -10 + 0 18 + 7x = -10 Add '-18' to each side of the equation. 18 + -18 + 7x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -10 + -18 7x = -10 + -18 Combine like terms: -10 + -18 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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