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Simplifying 0.7 = (0.1 * 3 + 0.1 + 0.05 * 2 + x * 3) Multiply 0.1 * 3 0.7 = (0.3 + 0.1 + 0.05 * 2 + x * 3) Multiply 0.05 * 2 0.7 = (0.3 + 0.1 + 0.1 + x * 3) Reorder the terms for easier multiplication: 0.7 = (0.3 + 0.1 + 0.1 + 3x) Combine like terms: 0.3 + 0.1 = 0.4 0.7 = (0.4 + 0.1 + 3x) Combine like terms: 0.4 + 0.1 = 0.5 0.7 = (0.5 + 3x) Remove parenthesis around (0.5 + 3x) 0.7 = 0.5 + 3x Solving 0.7 = 0.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.7 + -3x = 0.5 + 3x + -3x Combine like terms: 3x + -3x = 0 0.7 + -3x = 0.5 + 0 0.7 + -3x = 0.5 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -3x = 0.5 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -3x = 0.5 + -0.7 -3x = 0.5 + -0.7 Combine like terms: 0.5 + -0.7 = -0.2 -3x = -0.2 Divide each side by '-3'. x = 0.06666666667 Simplifying x = 0.06666666667
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