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Simplifying 0.19x + 0.4(x + -4) = 0.01(2x + -2) Reorder the terms: 0.19x + 0.4(-4 + x) = 0.01(2x + -2) 0.19x + (-4 * 0.4 + x * 0.4) = 0.01(2x + -2) 0.19x + (-1.6 + 0.4x) = 0.01(2x + -2) Reorder the terms: -1.6 + 0.19x + 0.4x = 0.01(2x + -2) Combine like terms: 0.19x + 0.4x = 0.59x -1.6 + 0.59x = 0.01(2x + -2) Reorder the terms: -1.6 + 0.59x = 0.01(-2 + 2x) -1.6 + 0.59x = (-2 * 0.01 + 2x * 0.01) -1.6 + 0.59x = (-0.02 + 0.02x) Solving -1.6 + 0.59x = -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. -1.6 + 0.59x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.59x + -0.02x = 0.57x -1.6 + 0.57x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.6 + 0.57x = -0.02 + 0.00 -1.6 + 0.57x = -0.02 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.57x = -0.02 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.57x = -0.02 + 1.6 0.57x = -0.02 + 1.6 Combine like terms: -0.02 + 1.6 = 1.58 0.57x = 1.58 Divide each side by '0.57'. x = 2.771929825 Simplifying x = 2.771929825
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