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Simplifying 0.19x + 0.2(x + -4) = 0.01(2x + -2) Reorder the terms: 0.19x + 0.2(-4 + x) = 0.01(2x + -2) 0.19x + (-4 * 0.2 + x * 0.2) = 0.01(2x + -2) 0.19x + (-0.8 + 0.2x) = 0.01(2x + -2) Reorder the terms: -0.8 + 0.19x + 0.2x = 0.01(2x + -2) Combine like terms: 0.19x + 0.2x = 0.39x -0.8 + 0.39x = 0.01(2x + -2) Reorder the terms: -0.8 + 0.39x = 0.01(-2 + 2x) -0.8 + 0.39x = (-2 * 0.01 + 2x * 0.01) -0.8 + 0.39x = (-0.02 + 0.02x) Solving -0.8 + 0.39x = -0.02 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.8 + 0.39x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.39x + -0.02x = 0.37x -0.8 + 0.37x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.8 + 0.37x = -0.02 + 0.00 -0.8 + 0.37x = -0.02 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.37x = -0.02 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.37x = -0.02 + 0.8 0.37x = -0.02 + 0.8 Combine like terms: -0.02 + 0.8 = 0.78 0.37x = 0.78 Divide each side by '0.37'. x = 2.108108108 Simplifying x = 2.108108108
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