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Simplifying 0.3x + -1 = 0.1(x + 10) Reorder the terms: -1 + 0.3x = 0.1(x + 10) Reorder the terms: -1 + 0.3x = 0.1(10 + x) -1 + 0.3x = (10 * 0.1 + x * 0.1) -1 + 0.3x = (1 + 0.1x) Solving -1 + 0.3x = 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. -1 + 0.3x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x -1 + 0.2x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -1 + 0.2x = 1 + 0.0 -1 + 0.2x = 1 Add '1' to each side of the equation. -1 + 1 + 0.2x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 0.2x = 1 + 1 0.2x = 1 + 1 Combine like terms: 1 + 1 = 2 0.2x = 2 Divide each side by '0.2'. x = 10 Simplifying x = 10
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