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Simplifying 0.19x + 0.2(x + -1) = 0.01(4x + -4) Reorder the terms: 0.19x + 0.2(-1 + x) = 0.01(4x + -4) 0.19x + (-1 * 0.2 + x * 0.2) = 0.01(4x + -4) 0.19x + (-0.2 + 0.2x) = 0.01(4x + -4) Reorder the terms: -0.2 + 0.19x + 0.2x = 0.01(4x + -4) Combine like terms: 0.19x + 0.2x = 0.39x -0.2 + 0.39x = 0.01(4x + -4) Reorder the terms: -0.2 + 0.39x = 0.01(-4 + 4x) -0.2 + 0.39x = (-4 * 0.01 + 4x * 0.01) -0.2 + 0.39x = (-0.04 + 0.04x) Solving -0.2 + 0.39x = -0.04 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.2 + 0.39x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.39x + -0.04x = 0.35x -0.2 + 0.35x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.2 + 0.35x = -0.04 + 0.00 -0.2 + 0.35x = -0.04 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.35x = -0.04 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.35x = -0.04 + 0.2 0.35x = -0.04 + 0.2 Combine like terms: -0.04 + 0.2 = 0.16 0.35x = 0.16 Divide each side by '0.35'. x = 0.4571428571 Simplifying x = 0.4571428571
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