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Simplifying 0.15x + 0.3(x + -1) = 0.01(3x + -5) Reorder the terms: 0.15x + 0.3(-1 + x) = 0.01(3x + -5) 0.15x + (-1 * 0.3 + x * 0.3) = 0.01(3x + -5) 0.15x + (-0.3 + 0.3x) = 0.01(3x + -5) Reorder the terms: -0.3 + 0.15x + 0.3x = 0.01(3x + -5) Combine like terms: 0.15x + 0.3x = 0.45x -0.3 + 0.45x = 0.01(3x + -5) Reorder the terms: -0.3 + 0.45x = 0.01(-5 + 3x) -0.3 + 0.45x = (-5 * 0.01 + 3x * 0.01) -0.3 + 0.45x = (-0.05 + 0.03x) Solving -0.3 + 0.45x = -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. -0.3 + 0.45x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.45x + -0.03x = 0.42x -0.3 + 0.42x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.3 + 0.42x = -0.05 + 0.00 -0.3 + 0.42x = -0.05 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.42x = -0.05 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.42x = -0.05 + 0.3 0.42x = -0.05 + 0.3 Combine like terms: -0.05 + 0.3 = 0.25 0.42x = 0.25 Divide each side by '0.42'. x = 0.5952380952 Simplifying x = 0.5952380952
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