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Simplifying 0.13x + 0.8(x + -3) = 0.01(4x + -5) Reorder the terms: 0.13x + 0.8(-3 + x) = 0.01(4x + -5) 0.13x + (-3 * 0.8 + x * 0.8) = 0.01(4x + -5) 0.13x + (-2.4 + 0.8x) = 0.01(4x + -5) Reorder the terms: -2.4 + 0.13x + 0.8x = 0.01(4x + -5) Combine like terms: 0.13x + 0.8x = 0.93x -2.4 + 0.93x = 0.01(4x + -5) Reorder the terms: -2.4 + 0.93x = 0.01(-5 + 4x) -2.4 + 0.93x = (-5 * 0.01 + 4x * 0.01) -2.4 + 0.93x = (-0.05 + 0.04x) Solving -2.4 + 0.93x = -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. -2.4 + 0.93x + -0.04x = -0.05 + 0.04x + -0.04x Combine like terms: 0.93x + -0.04x = 0.89x -2.4 + 0.89x = -0.05 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.4 + 0.89x = -0.05 + 0.00 -2.4 + 0.89x = -0.05 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.89x = -0.05 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.89x = -0.05 + 2.4 0.89x = -0.05 + 2.4 Combine like terms: -0.05 + 2.4 = 2.35 0.89x = 2.35 Divide each side by '0.89'. x = 2.640449438 Simplifying x = 2.640449438
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