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Simplifying 0.11x + 0.9(x + -5) = 0.01(4x + -1) Reorder the terms: 0.11x + 0.9(-5 + x) = 0.01(4x + -1) 0.11x + (-5 * 0.9 + x * 0.9) = 0.01(4x + -1) 0.11x + (-4.5 + 0.9x) = 0.01(4x + -1) Reorder the terms: -4.5 + 0.11x + 0.9x = 0.01(4x + -1) Combine like terms: 0.11x + 0.9x = 1.01x -4.5 + 1.01x = 0.01(4x + -1) Reorder the terms: -4.5 + 1.01x = 0.01(-1 + 4x) -4.5 + 1.01x = (-1 * 0.01 + 4x * 0.01) -4.5 + 1.01x = (-0.01 + 0.04x) Solving -4.5 + 1.01x = -0.01 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -4.5 + 1.01x + -0.04x = -0.01 + 0.04x + -0.04x Combine like terms: 1.01x + -0.04x = 0.97x -4.5 + 0.97x = -0.01 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -4.5 + 0.97x = -0.01 + 0.00 -4.5 + 0.97x = -0.01 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.97x = -0.01 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.97x = -0.01 + 4.5 0.97x = -0.01 + 4.5 Combine like terms: -0.01 + 4.5 = 4.49 0.97x = 4.49 Divide each side by '0.97'. x = 4.628865979 Simplifying x = 4.628865979
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