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Simplifying x * 0.04 + (1 + -1x) * 0.21 = 0.1 Reorder the terms for easier multiplication: 0.04x + (1 + -1x) * 0.21 = 0.1 Reorder the terms for easier multiplication: 0.04x + 0.21(1 + -1x) = 0.1 0.04x + (1 * 0.21 + -1x * 0.21) = 0.1 0.04x + (0.21 + -0.21x) = 0.1 Reorder the terms: 0.21 + 0.04x + -0.21x = 0.1 Combine like terms: 0.04x + -0.21x = -0.17x 0.21 + -0.17x = 0.1 Solving 0.21 + -0.17x = 0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.21' to each side of the equation. 0.21 + -0.21 + -0.17x = 0.1 + -0.21 Combine like terms: 0.21 + -0.21 = 0.00 0.00 + -0.17x = 0.1 + -0.21 -0.17x = 0.1 + -0.21 Combine like terms: 0.1 + -0.21 = -0.11 -0.17x = -0.11 Divide each side by '-0.17'. x = 0.6470588235 Simplifying x = 0.6470588235
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