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Simplifying 0.5x + -15 = 0.1(x + 10) Reorder the terms: -15 + 0.5x = 0.1(x + 10) Reorder the terms: -15 + 0.5x = 0.1(10 + x) -15 + 0.5x = (10 * 0.1 + x * 0.1) -15 + 0.5x = (1 + 0.1x) Solving -15 + 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. -15 + 0.5x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x -15 + 0.4x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -15 + 0.4x = 1 + 0.0 -15 + 0.4x = 1 Add '15' to each side of the equation. -15 + 15 + 0.4x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 0.4x = 1 + 15 0.4x = 1 + 15 Combine like terms: 1 + 15 = 16 0.4x = 16 Divide each side by '0.4'. x = 40 Simplifying x = 40
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