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Simplifying 0.16x + 0.4(x + -2) = 0.01(3x + -4) Reorder the terms: 0.16x + 0.4(-2 + x) = 0.01(3x + -4) 0.16x + (-2 * 0.4 + x * 0.4) = 0.01(3x + -4) 0.16x + (-0.8 + 0.4x) = 0.01(3x + -4) Reorder the terms: -0.8 + 0.16x + 0.4x = 0.01(3x + -4) Combine like terms: 0.16x + 0.4x = 0.56x -0.8 + 0.56x = 0.01(3x + -4) Reorder the terms: -0.8 + 0.56x = 0.01(-4 + 3x) -0.8 + 0.56x = (-4 * 0.01 + 3x * 0.01) -0.8 + 0.56x = (-0.04 + 0.03x) Solving -0.8 + 0.56x = -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. -0.8 + 0.56x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.56x + -0.03x = 0.53x -0.8 + 0.53x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.8 + 0.53x = -0.04 + 0.00 -0.8 + 0.53x = -0.04 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.53x = -0.04 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.53x = -0.04 + 0.8 0.53x = -0.04 + 0.8 Combine like terms: -0.04 + 0.8 = 0.76 0.53x = 0.76 Divide each side by '0.53'. x = 1.433962264 Simplifying x = 1.433962264
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