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Simplifying 0.5x + -11 = 0.1(x + 10) Reorder the terms: -11 + 0.5x = 0.1(x + 10) Reorder the terms: -11 + 0.5x = 0.1(10 + x) -11 + 0.5x = (10 * 0.1 + x * 0.1) -11 + 0.5x = (1 + 0.1x) Solving -11 + 0.5x = 1 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -11 + 0.5x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x -11 + 0.4x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -11 + 0.4x = 1 + 0.0 -11 + 0.4x = 1 Add '11' to each side of the equation. -11 + 11 + 0.4x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 0.4x = 1 + 11 0.4x = 1 + 11 Combine like terms: 1 + 11 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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