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Simplifying 0.5x + -13 = 0.1(x + 30) Reorder the terms: -13 + 0.5x = 0.1(x + 30) Reorder the terms: -13 + 0.5x = 0.1(30 + x) -13 + 0.5x = (30 * 0.1 + x * 0.1) -13 + 0.5x = (3 + 0.1x) Solving -13 + 0.5x = 3 + 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. -13 + 0.5x + -0.1x = 3 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x -13 + 0.4x = 3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -13 + 0.4x = 3 + 0.0 -13 + 0.4x = 3 Add '13' to each side of the equation. -13 + 13 + 0.4x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 0.4x = 3 + 13 0.4x = 3 + 13 Combine like terms: 3 + 13 = 16 0.4x = 16 Divide each side by '0.4'. x = 40 Simplifying x = 40
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