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Simplifying 0.19x + 0.06(x + -3) = 0.01(3x + -5) Reorder the terms: 0.19x + 0.06(-3 + x) = 0.01(3x + -5) 0.19x + (-3 * 0.06 + x * 0.06) = 0.01(3x + -5) 0.19x + (-0.18 + 0.06x) = 0.01(3x + -5) Reorder the terms: -0.18 + 0.19x + 0.06x = 0.01(3x + -5) Combine like terms: 0.19x + 0.06x = 0.25x -0.18 + 0.25x = 0.01(3x + -5) Reorder the terms: -0.18 + 0.25x = 0.01(-5 + 3x) -0.18 + 0.25x = (-5 * 0.01 + 3x * 0.01) -0.18 + 0.25x = (-0.05 + 0.03x) Solving -0.18 + 0.25x = -0.05 + 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. -0.18 + 0.25x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.25x + -0.03x = 0.22x -0.18 + 0.22x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.18 + 0.22x = -0.05 + 0.00 -0.18 + 0.22x = -0.05 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.22x = -0.05 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.22x = -0.05 + 0.18 0.22x = -0.05 + 0.18 Combine like terms: -0.05 + 0.18 = 0.13 0.22x = 0.13 Divide each side by '0.22'. x = 0.5909090909 Simplifying x = 0.5909090909
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