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Simplifying 1.7 + 0.2x = 0.9x + -6.7 Reorder the terms: 1.7 + 0.2x = -6.7 + 0.9x Solving 1.7 + 0.2x = -6.7 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.7 + 0.2x + -0.9x = -6.7 + 0.9x + -0.9x Combine like terms: 0.2x + -0.9x = -0.7x 1.7 + -0.7x = -6.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.7 + -0.7x = -6.7 + 0.0 1.7 + -0.7x = -6.7 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -0.7x = -6.7 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -0.7x = -6.7 + -1.7 -0.7x = -6.7 + -1.7 Combine like terms: -6.7 + -1.7 = -8.4 -0.7x = -8.4 Divide each side by '-0.7'. x = 12 Simplifying x = 12
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