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Simplifying 0.13x + 0.4(x + -5) = 0.01(3x + -4) Reorder the terms: 0.13x + 0.4(-5 + x) = 0.01(3x + -4) 0.13x + (-5 * 0.4 + x * 0.4) = 0.01(3x + -4) 0.13x + (-2 + 0.4x) = 0.01(3x + -4) Reorder the terms: -2 + 0.13x + 0.4x = 0.01(3x + -4) Combine like terms: 0.13x + 0.4x = 0.53x -2 + 0.53x = 0.01(3x + -4) Reorder the terms: -2 + 0.53x = 0.01(-4 + 3x) -2 + 0.53x = (-4 * 0.01 + 3x * 0.01) -2 + 0.53x = (-0.04 + 0.03x) Solving -2 + 0.53x = -0.04 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -2 + 0.53x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.53x + -0.03x = 0.5x -2 + 0.5x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -2 + 0.5x = -0.04 + 0.00 -2 + 0.5x = -0.04 Add '2' to each side of the equation. -2 + 2 + 0.5x = -0.04 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5x = -0.04 + 2 0.5x = -0.04 + 2 Combine like terms: -0.04 + 2 = 1.96 0.5x = 1.96 Divide each side by '0.5'. x = 3.92 Simplifying x = 3.92
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