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Simplifying 6.7 + 1.5x = 5x + -0.7 Reorder the terms: 6.7 + 1.5x = -0.7 + 5x Solving 6.7 + 1.5x = -0.7 + 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. 6.7 + 1.5x + -5x = -0.7 + 5x + -5x Combine like terms: 1.5x + -5x = -3.5x 6.7 + -3.5x = -0.7 + 5x + -5x Combine like terms: 5x + -5x = 0 6.7 + -3.5x = -0.7 + 0 6.7 + -3.5x = -0.7 Add '-6.7' to each side of the equation. 6.7 + -6.7 + -3.5x = -0.7 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0 0.0 + -3.5x = -0.7 + -6.7 -3.5x = -0.7 + -6.7 Combine like terms: -0.7 + -6.7 = -7.4 -3.5x = -7.4 Divide each side by '-3.5'. x = 2.114285714 Simplifying x = 2.114285714
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