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Simplifying 0.1(7) + x = 0.6(7 + x) Multiply 0.1 * 7 0.7 + x = 0.6(7 + x) 0.7 + x = (7 * 0.6 + x * 0.6) 0.7 + x = (4.2 + 0.6x) Solving 0.7 + x = 4.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 0.7 + x + -0.6x = 4.2 + 0.6x + -0.6x Combine like terms: x + -0.6x = 0.4x 0.7 + 0.4x = 4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.7 + 0.4x = 4.2 + 0.0 0.7 + 0.4x = 4.2 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.4x = 4.2 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.4x = 4.2 + -0.7 0.4x = 4.2 + -0.7 Combine like terms: 4.2 + -0.7 = 3.5 0.4x = 3.5 Divide each side by '0.4'. x = 8.75 Simplifying x = 8.75
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