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Simplifying x + 0.6 = 0.7(x + 1) Reorder the terms: 0.6 + x = 0.7(x + 1) Reorder the terms: 0.6 + x = 0.7(1 + x) 0.6 + x = (1 * 0.7 + x * 0.7) 0.6 + x = (0.7 + 0.7x) Solving 0.6 + x = 0.7 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 0.6 + x + -0.7x = 0.7 + 0.7x + -0.7x Combine like terms: x + -0.7x = 0.3x 0.6 + 0.3x = 0.7 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.6 + 0.3x = 0.7 + 0.0 0.6 + 0.3x = 0.7 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.3x = 0.7 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.3x = 0.7 + -0.6 0.3x = 0.7 + -0.6 Combine like terms: 0.7 + -0.6 = 0.1 0.3x = 0.1 Divide each side by '0.3'. x = 0.3333333333 Simplifying x = 0.3333333333
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