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Simplifying 1 + 5x(0.10) + 0.05x + 4x(0.01) = 7.77 Reorder the terms for easier multiplication: 1 + 5 * 0.10x + 0.05x + 4x(0.01) = 7.77 Multiply 5 * 0.10 1 + 0.5x + 0.05x + 4x(0.01) = 7.77 Reorder the terms for easier multiplication: 1 + 0.5x + 0.05x + 4 * 0.01x = 7.77 Multiply 4 * 0.01 1 + 0.5x + 0.05x + 0.04x = 7.77 Combine like terms: 0.5x + 0.05x = 0.55x 1 + 0.55x + 0.04x = 7.77 Combine like terms: 0.55x + 0.04x = 0.59x 1 + 0.59x = 7.77 Solving 1 + 0.59x = 7.77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.59x = 7.77 + -1 Combine like terms: 1 + -1 = 0 0 + 0.59x = 7.77 + -1 0.59x = 7.77 + -1 Combine like terms: 7.77 + -1 = 6.77 0.59x = 6.77 Divide each side by '0.59'. x = 11.47457627 Simplifying x = 11.47457627
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