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Simplifying 0.11x + 0.4(x + -5) = 0.01(4x + -5) Reorder the terms: 0.11x + 0.4(-5 + x) = 0.01(4x + -5) 0.11x + (-5 * 0.4 + x * 0.4) = 0.01(4x + -5) 0.11x + (-2 + 0.4x) = 0.01(4x + -5) Reorder the terms: -2 + 0.11x + 0.4x = 0.01(4x + -5) Combine like terms: 0.11x + 0.4x = 0.51x -2 + 0.51x = 0.01(4x + -5) Reorder the terms: -2 + 0.51x = 0.01(-5 + 4x) -2 + 0.51x = (-5 * 0.01 + 4x * 0.01) -2 + 0.51x = (-0.05 + 0.04x) Solving -2 + 0.51x = -0.05 + 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. -2 + 0.51x + -0.04x = -0.05 + 0.04x + -0.04x Combine like terms: 0.51x + -0.04x = 0.47x -2 + 0.47x = -0.05 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2 + 0.47x = -0.05 + 0.00 -2 + 0.47x = -0.05 Add '2' to each side of the equation. -2 + 2 + 0.47x = -0.05 + 2 Combine like terms: -2 + 2 = 0 0 + 0.47x = -0.05 + 2 0.47x = -0.05 + 2 Combine like terms: -0.05 + 2 = 1.95 0.47x = 1.95 Divide each side by '0.47'. x = 4.14893617 Simplifying x = 4.14893617
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