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Simplifying 2(2x + -3) = 3(2x + 4) Reorder the terms: 2(-3 + 2x) = 3(2x + 4) (-3 * 2 + 2x * 2) = 3(2x + 4) (-6 + 4x) = 3(2x + 4) Reorder the terms: -6 + 4x = 3(4 + 2x) -6 + 4x = (4 * 3 + 2x * 3) -6 + 4x = (12 + 6x) Solving -6 + 4x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = 12 + 0 -6 + -2x = 12 Add '6' to each side of the equation. -6 + 6 + -2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 12 + 6 -2x = 12 + 6 Combine like terms: 12 + 6 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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