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Simplifying 0.5x + 3 + x = 4x + -2 Reorder the terms: 3 + 0.5x + x = 4x + -2 Combine like terms: 0.5x + x = 1.5x 3 + 1.5x = 4x + -2 Reorder the terms: 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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