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Simplifying 7x + 0.1 = 10x + -0.2 Reorder the terms: 0.1 + 7x = 10x + -0.2 Reorder the terms: 0.1 + 7x = -0.2 + 10x Solving 0.1 + 7x = -0.2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 0.1 + 7x + -10x = -0.2 + 10x + -10x Combine like terms: 7x + -10x = -3x 0.1 + -3x = -0.2 + 10x + -10x Combine like terms: 10x + -10x = 0 0.1 + -3x = -0.2 + 0 0.1 + -3x = -0.2 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -3x = -0.2 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -3x = -0.2 + -0.1 -3x = -0.2 + -0.1 Combine like terms: -0.2 + -0.1 = -0.3 -3x = -0.3 Divide each side by '-3'. x = 0.1 Simplifying x = 0.1
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