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Simplifying 0.13x + 0.5(x + -5) = 0.01(4x + -5) Reorder the terms: 0.13x + 0.5(-5 + x) = 0.01(4x + -5) 0.13x + (-5 * 0.5 + x * 0.5) = 0.01(4x + -5) 0.13x + (-2.5 + 0.5x) = 0.01(4x + -5) Reorder the terms: -2.5 + 0.13x + 0.5x = 0.01(4x + -5) Combine like terms: 0.13x + 0.5x = 0.63x -2.5 + 0.63x = 0.01(4x + -5) Reorder the terms: -2.5 + 0.63x = 0.01(-5 + 4x) -2.5 + 0.63x = (-5 * 0.01 + 4x * 0.01) -2.5 + 0.63x = (-0.05 + 0.04x) Solving -2.5 + 0.63x = -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. -2.5 + 0.63x + -0.04x = -0.05 + 0.04x + -0.04x Combine like terms: 0.63x + -0.04x = 0.59x -2.5 + 0.59x = -0.05 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.5 + 0.59x = -0.05 + 0.00 -2.5 + 0.59x = -0.05 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.59x = -0.05 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.59x = -0.05 + 2.5 0.59x = -0.05 + 2.5 Combine like terms: -0.05 + 2.5 = 2.45 0.59x = 2.45 Divide each side by '0.59'. x = 4.152542373 Simplifying x = 4.152542373
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