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Simplifying 0.5x + 3 = 4x + -1 Reorder the terms: 3 + 0.5x = 4x + -1 Reorder the terms: 3 + 0.5x = -1 + 4x Solving 3 + 0.5x = -1 + 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 + 0.5x + -4x = -1 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 3 + -3.5x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -3.5x = -1 + 0 3 + -3.5x = -1 Add '-3' to each side of the equation. 3 + -3 + -3.5x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -3.5x = -1 + -3 -3.5x = -1 + -3 Combine like terms: -1 + -3 = -4 -3.5x = -4 Divide each side by '-3.5'. x = 1.142857143 Simplifying x = 1.142857143
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