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Simplifying 0.1(70) = 0.3(30 + x) + -0.7x Multiply 0.1 * 70 7 = 0.3(30 + x) + -0.7x 7 = (30 * 0.3 + x * 0.3) + -0.7x 7 = (9 + 0.3x) + -0.7x Combine like terms: 0.3x + -0.7x = -0.4x 7 = 9 + -0.4x Solving 7 = 9 + -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. 7 + 0.4x = 9 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 7 + 0.4x = 9 + 0.0 7 + 0.4x = 9 Add '-7' to each side of the equation. 7 + -7 + 0.4x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 0.4x = 9 + -7 0.4x = 9 + -7 Combine like terms: 9 + -7 = 2 0.4x = 2 Divide each side by '0.4'. x = 5 Simplifying x = 5
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