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Simplifying -2(2x + -3) = 3(x + 8) Reorder the terms: -2(-3 + 2x) = 3(x + 8) (-3 * -2 + 2x * -2) = 3(x + 8) (6 + -4x) = 3(x + 8) Reorder the terms: 6 + -4x = 3(8 + x) 6 + -4x = (8 * 3 + x * 3) 6 + -4x = (24 + 3x) Solving 6 + -4x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -4x + -3x = 24 + 3x + -3x Combine like terms: -4x + -3x = -7x 6 + -7x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -7x = 24 + 0 6 + -7x = 24 Add '-6' to each side of the equation. 6 + -6 + -7x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 24 + -6 -7x = 24 + -6 Combine like terms: 24 + -6 = 18 -7x = 18 Divide each side by '-7'. x = -2.571428571 Simplifying x = -2.571428571
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