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Simplifying 1 * 0.34 + (x + -1) * 0.21 = 1.18 Multiply 1 * 0.34 0.34 + (x + -1) * 0.21 = 1.18 Reorder the terms: 0.34 + (-1 + x) * 0.21 = 1.18 Reorder the terms for easier multiplication: 0.34 + 0.21(-1 + x) = 1.18 0.34 + (-1 * 0.21 + x * 0.21) = 1.18 0.34 + (-0.21 + 0.21x) = 1.18 Combine like terms: 0.34 + -0.21 = 0.13 0.13 + 0.21x = 1.18 Solving 0.13 + 0.21x = 1.18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13' to each side of the equation. 0.13 + -0.13 + 0.21x = 1.18 + -0.13 Combine like terms: 0.13 + -0.13 = 0.00 0.00 + 0.21x = 1.18 + -0.13 0.21x = 1.18 + -0.13 Combine like terms: 1.18 + -0.13 = 1.05 0.21x = 1.05 Divide each side by '0.21'. x = 5 Simplifying x = 5
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