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Simplifying 0.1(30) = 0.5(70 + x) + -0.9x Multiply 0.1 * 30 3 = 0.5(70 + x) + -0.9x 3 = (70 * 0.5 + x * 0.5) + -0.9x 3 = (35 + 0.5x) + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 3 = 35 + -0.4x Solving 3 = 35 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 3 + 0.4x = 35 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 3 + 0.4x = 35 + 0.0 3 + 0.4x = 35 Add '-3' to each side of the equation. 3 + -3 + 0.4x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 0.4x = 35 + -3 0.4x = 35 + -3 Combine like terms: 35 + -3 = 32 0.4x = 32 Divide each side by '0.4'. x = 80 Simplifying x = 80
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