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Simplifying 9.02x + 3.55(9x + -4) = 12.05x + 0.5616 Reorder the terms: 9.02x + 3.55(-4 + 9x) = 12.05x + 0.5616 9.02x + (-4 * 3.55 + 9x * 3.55) = 12.05x + 0.5616 9.02x + (-14.2 + 31.95x) = 12.05x + 0.5616 Reorder the terms: -14.2 + 9.02x + 31.95x = 12.05x + 0.5616 Combine like terms: 9.02x + 31.95x = 40.97x -14.2 + 40.97x = 12.05x + 0.5616 Reorder the terms: -14.2 + 40.97x = 0.5616 + 12.05x Solving -14.2 + 40.97x = 0.5616 + 12.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.05x' to each side of the equation. -14.2 + 40.97x + -12.05x = 0.5616 + 12.05x + -12.05x Combine like terms: 40.97x + -12.05x = 28.92x -14.2 + 28.92x = 0.5616 + 12.05x + -12.05x Combine like terms: 12.05x + -12.05x = 0.00 -14.2 + 28.92x = 0.5616 + 0.00 -14.2 + 28.92x = 0.5616 Add '14.2' to each side of the equation. -14.2 + 14.2 + 28.92x = 0.5616 + 14.2 Combine like terms: -14.2 + 14.2 = 0.0 0.0 + 28.92x = 0.5616 + 14.2 28.92x = 0.5616 + 14.2 Combine like terms: 0.5616 + 14.2 = 14.7616 28.92x = 14.7616 Divide each side by '28.92'. x = 0.510428769 Simplifying x = 0.510428769
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