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Simplifying 1.5x + 6 = 5x + 4 Reorder the terms: 6 + 1.5x = 5x + 4 Reorder the terms: 6 + 1.5x = 4 + 5x Solving 6 + 1.5x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 1.5x + -5x = 4 + 5x + -5x Combine like terms: 1.5x + -5x = -3.5x 6 + -3.5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3.5x = 4 + 0 6 + -3.5x = 4 Add '-6' to each side of the equation. 6 + -6 + -3.5x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -3.5x = 4 + -6 -3.5x = 4 + -6 Combine like terms: 4 + -6 = -2 -3.5x = -2 Divide each side by '-3.5'. x = 0.5714285714 Simplifying x = 0.5714285714
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