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Simplifying (1.5x + -3) = (4x + 2) Reorder the terms: (-3 + 1.5x) = (4x + 2) Remove parenthesis around (-3 + 1.5x) -3 + 1.5x = (4x + 2) Reorder the terms: -3 + 1.5x = (2 + 4x) Remove parenthesis around (2 + 4x) -3 + 1.5x = 2 + 4x Solving -3 + 1.5x = 2 + 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 = 2 + 4x + -4x Combine like terms: 1.5x + -4x = -2.5x -3 + -2.5x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -2.5x = 2 + 0 -3 + -2.5x = 2 Add '3' to each side of the equation. -3 + 3 + -2.5x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -2.5x = 2 + 3 -2.5x = 2 + 3 Combine like terms: 2 + 3 = 5 -2.5x = 5 Divide each side by '-2.5'. x = -2 Simplifying x = -2
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