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Simplifying 3(2x + -3) = 4x + -6 Reorder the terms: 3(-3 + 2x) = 4x + -6 (-3 * 3 + 2x * 3) = 4x + -6 (-9 + 6x) = 4x + -6 Reorder the terms: -9 + 6x = -6 + 4x Solving -9 + 6x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 6x + -4x = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x -9 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 2x = -6 + 0 -9 + 2x = -6 Add '9' to each side of the equation. -9 + 9 + 2x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -6 + 9 2x = -6 + 9 Combine like terms: -6 + 9 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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