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Simplifying 4x + 6 + -2(2x + 3) = 3(2x + -3) Reorder the terms: 4x + 6 + -2(3 + 2x) = 3(2x + -3) 4x + 6 + (3 * -2 + 2x * -2) = 3(2x + -3) 4x + 6 + (-6 + -4x) = 3(2x + -3) Reorder the terms: 6 + -6 + 4x + -4x = 3(2x + -3) Combine like terms: 6 + -6 = 0 0 + 4x + -4x = 3(2x + -3) 4x + -4x = 3(2x + -3) Combine like terms: 4x + -4x = 0 0 = 3(2x + -3) Reorder the terms: 0 = 3(-3 + 2x) 0 = (-3 * 3 + 2x * 3) 0 = (-9 + 6x) Solving 0 = -9 + 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. 0 + -6x = -9 + 6x + -6x Remove the zero: -6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6x = -9 + 0 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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