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Simplifying 0.5x + 0.1 = 1.1x + 0.7 Reorder the terms: 0.1 + 0.5x = 1.1x + 0.7 Reorder the terms: 0.1 + 0.5x = 0.7 + 1.1x Solving 0.1 + 0.5x = 0.7 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. 0.1 + 0.5x + -1.1x = 0.7 + 1.1x + -1.1x Combine like terms: 0.5x + -1.1x = -0.6x 0.1 + -0.6x = 0.7 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 0.1 + -0.6x = 0.7 + 0.0 0.1 + -0.6x = 0.7 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.6x = 0.7 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.6x = 0.7 + -0.1 -0.6x = 0.7 + -0.1 Combine like terms: 0.7 + -0.1 = 0.6 -0.6x = 0.6 Divide each side by '-0.6'. x = -1 Simplifying x = -1
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