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Simplifying 3(5x + 6) = 4(2x + -2) Reorder the terms: 3(6 + 5x) = 4(2x + -2) (6 * 3 + 5x * 3) = 4(2x + -2) (18 + 15x) = 4(2x + -2) Reorder the terms: 18 + 15x = 4(-2 + 2x) 18 + 15x = (-2 * 4 + 2x * 4) 18 + 15x = (-8 + 8x) Solving 18 + 15x = -8 + 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 = -8 + 8x + -8x Combine like terms: 15x + -8x = 7x 18 + 7x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 7x = -8 + 0 18 + 7x = -8 Add '-18' to each side of the equation. 18 + -18 + 7x = -8 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -8 + -18 7x = -8 + -18 Combine like terms: -8 + -18 = -26 7x = -26 Divide each side by '7'. x = -3.714285714 Simplifying x = -3.714285714
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