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Simplifying 0.2(8) + x = 0.3(8 + x) Multiply 0.2 * 8 1.6 + x = 0.3(8 + x) 1.6 + x = (8 * 0.3 + x * 0.3) 1.6 + x = (2.4 + 0.3x) Solving 1.6 + x = 2.4 + 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. 1.6 + x + -0.3x = 2.4 + 0.3x + -0.3x Combine like terms: x + -0.3x = 0.7x 1.6 + 0.7x = 2.4 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1.6 + 0.7x = 2.4 + 0.0 1.6 + 0.7x = 2.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.7x = 2.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.7x = 2.4 + -1.6 0.7x = 2.4 + -1.6 Combine like terms: 2.4 + -1.6 = 0.8 0.7x = 0.8 Divide each side by '0.7'. x = 1.142857143 Simplifying x = 1.142857143
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