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Simplifying 2(2x + -3) = 3(x + 6) Reorder the terms: 2(-3 + 2x) = 3(x + 6) (-3 * 2 + 2x * 2) = 3(x + 6) (-6 + 4x) = 3(x + 6) Reorder the terms: -6 + 4x = 3(6 + x) -6 + 4x = (6 * 3 + x * 3) -6 + 4x = (18 + 3x) Solving -6 + 4x = 18 + 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 = 18 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = 18 + 0 -6 + 1x = 18 Add '6' to each side of the equation. -6 + 6 + 1x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 18 + 6 1x = 18 + 6 Combine like terms: 18 + 6 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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