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Simplifying 0.13x + 0.4(x + -4) = 0.01(3x + -4) Reorder the terms: 0.13x + 0.4(-4 + x) = 0.01(3x + -4) 0.13x + (-4 * 0.4 + x * 0.4) = 0.01(3x + -4) 0.13x + (-1.6 + 0.4x) = 0.01(3x + -4) Reorder the terms: -1.6 + 0.13x + 0.4x = 0.01(3x + -4) Combine like terms: 0.13x + 0.4x = 0.53x -1.6 + 0.53x = 0.01(3x + -4) Reorder the terms: -1.6 + 0.53x = 0.01(-4 + 3x) -1.6 + 0.53x = (-4 * 0.01 + 3x * 0.01) -1.6 + 0.53x = (-0.04 + 0.03x) Solving -1.6 + 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. -1.6 + 0.53x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.53x + -0.03x = 0.5x -1.6 + 0.5x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.6 + 0.5x = -0.04 + 0.00 -1.6 + 0.5x = -0.04 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.5x = -0.04 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.5x = -0.04 + 1.6 0.5x = -0.04 + 1.6 Combine like terms: -0.04 + 1.6 = 1.56 0.5x = 1.56 Divide each side by '0.5'. x = 3.12 Simplifying x = 3.12
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