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Simplifying 7x + 1.5 = 2x + 6.7 Reorder the terms: 1.5 + 7x = 2x + 6.7 Reorder the terms: 1.5 + 7x = 6.7 + 2x Solving 1.5 + 7x = 6.7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.5 + 7x + -2x = 6.7 + 2x + -2x Combine like terms: 7x + -2x = 5x 1.5 + 5x = 6.7 + 2x + -2x Combine like terms: 2x + -2x = 0 1.5 + 5x = 6.7 + 0 1.5 + 5x = 6.7 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 5x = 6.7 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 5x = 6.7 + -1.5 5x = 6.7 + -1.5 Combine like terms: 6.7 + -1.5 = 5.2 5x = 5.2 Divide each side by '5'. x = 1.04 Simplifying x = 1.04
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