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Simplifying 3x + 4.7 = 6.5 + -1.5x Reorder the terms: 4.7 + 3x = 6.5 + -1.5x Solving 4.7 + 3x = 6.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 4.7 + 3x + 1.5x = 6.5 + -1.5x + 1.5x Combine like terms: 3x + 1.5x = 4.5x 4.7 + 4.5x = 6.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 4.7 + 4.5x = 6.5 + 0.0 4.7 + 4.5x = 6.5 Add '-4.7' to each side of the equation. 4.7 + -4.7 + 4.5x = 6.5 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + 4.5x = 6.5 + -4.7 4.5x = 6.5 + -4.7 Combine like terms: 6.5 + -4.7 = 1.8 4.5x = 1.8 Divide each side by '4.5'. x = 0.4 Simplifying x = 0.4
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