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Simplifying -1.5x + 3 = 2(2x + -3) Reorder the terms: 3 + -1.5x = 2(2x + -3) Reorder the terms: 3 + -1.5x = 2(-3 + 2x) 3 + -1.5x = (-3 * 2 + 2x * 2) 3 + -1.5x = (-6 + 4x) Solving 3 + -1.5x = -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. 3 + -1.5x + -4x = -6 + 4x + -4x Combine like terms: -1.5x + -4x = -5.5x 3 + -5.5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -5.5x = -6 + 0 3 + -5.5x = -6 Add '-3' to each side of the equation. 3 + -3 + -5.5x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -5.5x = -6 + -3 -5.5x = -6 + -3 Combine like terms: -6 + -3 = -9 -5.5x = -9 Divide each side by '-5.5'. x = 1.636363636 Simplifying x = 1.636363636
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