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Simplifying -0.167(30) + 0.5x = 0.3(30 + x) Multiply -0.167 * 30 -5.01 + 0.5x = 0.3(30 + x) -5.01 + 0.5x = (30 * 0.3 + x * 0.3) -5.01 + 0.5x = (9 + 0.3x) Solving -5.01 + 0.5x = 9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -5.01 + 0.5x + -0.3x = 9 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -5.01 + 0.2x = 9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -5.01 + 0.2x = 9 + 0.0 -5.01 + 0.2x = 9 Add '5.01' to each side of the equation. -5.01 + 5.01 + 0.2x = 9 + 5.01 Combine like terms: -5.01 + 5.01 = 0.00 0.00 + 0.2x = 9 + 5.01 0.2x = 9 + 5.01 Combine like terms: 9 + 5.01 = 14.01 0.2x = 14.01 Divide each side by '0.2'. x = 70.05 Simplifying x = 70.05
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