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Simplifying 0.13x + 0.4(x + -1) = 0.01(3x + -3) Reorder the terms: 0.13x + 0.4(-1 + x) = 0.01(3x + -3) 0.13x + (-1 * 0.4 + x * 0.4) = 0.01(3x + -3) 0.13x + (-0.4 + 0.4x) = 0.01(3x + -3) Reorder the terms: -0.4 + 0.13x + 0.4x = 0.01(3x + -3) Combine like terms: 0.13x + 0.4x = 0.53x -0.4 + 0.53x = 0.01(3x + -3) Reorder the terms: -0.4 + 0.53x = 0.01(-3 + 3x) -0.4 + 0.53x = (-3 * 0.01 + 3x * 0.01) -0.4 + 0.53x = (-0.03 + 0.03x) Solving -0.4 + 0.53x = -0.03 + 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. -0.4 + 0.53x + -0.03x = -0.03 + 0.03x + -0.03x Combine like terms: 0.53x + -0.03x = 0.5x -0.4 + 0.5x = -0.03 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.4 + 0.5x = -0.03 + 0.00 -0.4 + 0.5x = -0.03 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.5x = -0.03 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.5x = -0.03 + 0.4 0.5x = -0.03 + 0.4 Combine like terms: -0.03 + 0.4 = 0.37 0.5x = 0.37 Divide each side by '0.5'. x = 0.74 Simplifying x = 0.74
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