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Simplifying 0.19x + 0.2(x + -5) = 0.01(3x + -4) Reorder the terms: 0.19x + 0.2(-5 + x) = 0.01(3x + -4) 0.19x + (-5 * 0.2 + x * 0.2) = 0.01(3x + -4) 0.19x + (-1 + 0.2x) = 0.01(3x + -4) Reorder the terms: -1 + 0.19x + 0.2x = 0.01(3x + -4) Combine like terms: 0.19x + 0.2x = 0.39x -1 + 0.39x = 0.01(3x + -4) Reorder the terms: -1 + 0.39x = 0.01(-4 + 3x) -1 + 0.39x = (-4 * 0.01 + 3x * 0.01) -1 + 0.39x = (-0.04 + 0.03x) Solving -1 + 0.39x = -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 + 0.39x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.39x + -0.03x = 0.36x -1 + 0.36x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1 + 0.36x = -0.04 + 0.00 -1 + 0.36x = -0.04 Add '1' to each side of the equation. -1 + 1 + 0.36x = -0.04 + 1 Combine like terms: -1 + 1 = 0 0 + 0.36x = -0.04 + 1 0.36x = -0.04 + 1 Combine like terms: -0.04 + 1 = 0.96 0.36x = 0.96 Divide each side by '0.36'. x = 2.666666667 Simplifying x = 2.666666667
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