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Simplifying 0.2x + 0.7 = 0.9x + -0.7 Reorder the terms: 0.7 + 0.2x = 0.9x + -0.7 Reorder the terms: 0.7 + 0.2x = -0.7 + 0.9x Solving 0.7 + 0.2x = -0.7 + 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. 0.7 + 0.2x + -0.9x = -0.7 + 0.9x + -0.9x Combine like terms: 0.2x + -0.9x = -0.7x 0.7 + -0.7x = -0.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.7 + -0.7x = -0.7 + 0.0 0.7 + -0.7x = -0.7 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.7x = -0.7 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.7x = -0.7 + -0.7 -0.7x = -0.7 + -0.7 Combine like terms: -0.7 + -0.7 = -1.4 -0.7x = -1.4 Divide each side by '-0.7'. x = 2 Simplifying x = 2
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