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Simplifying 1.4 + 0.2x = 0.9x + -7.7 Reorder the terms: 1.4 + 0.2x = -7.7 + 0.9x Solving 1.4 + 0.2x = -7.7 + 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. 1.4 + 0.2x + -0.9x = -7.7 + 0.9x + -0.9x Combine like terms: 0.2x + -0.9x = -0.7x 1.4 + -0.7x = -7.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.4 + -0.7x = -7.7 + 0.0 1.4 + -0.7x = -7.7 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.7x = -7.7 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.7x = -7.7 + -1.4 -0.7x = -7.7 + -1.4 Combine like terms: -7.7 + -1.4 = -9.1 -0.7x = -9.1 Divide each side by '-0.7'. x = 13 Simplifying x = 13
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