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Simplifying 0.1(70) + 0.5x = 0.3(70 + x) Multiply 0.1 * 70 7 + 0.5x = 0.3(70 + x) 7 + 0.5x = (70 * 0.3 + x * 0.3) 7 + 0.5x = (21 + 0.3x) Solving 7 + 0.5x = 21 + 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. 7 + 0.5x + -0.3x = 21 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 7 + 0.2x = 21 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 7 + 0.2x = 21 + 0.0 7 + 0.2x = 21 Add '-7' to each side of the equation. 7 + -7 + 0.2x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 0.2x = 21 + -7 0.2x = 21 + -7 Combine like terms: 21 + -7 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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