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Simplifying 0.18x + 0.6(x + -1) = 0.01(3x + -2) Reorder the terms: 0.18x + 0.6(-1 + x) = 0.01(3x + -2) 0.18x + (-1 * 0.6 + x * 0.6) = 0.01(3x + -2) 0.18x + (-0.6 + 0.6x) = 0.01(3x + -2) Reorder the terms: -0.6 + 0.18x + 0.6x = 0.01(3x + -2) Combine like terms: 0.18x + 0.6x = 0.78x -0.6 + 0.78x = 0.01(3x + -2) Reorder the terms: -0.6 + 0.78x = 0.01(-2 + 3x) -0.6 + 0.78x = (-2 * 0.01 + 3x * 0.01) -0.6 + 0.78x = (-0.02 + 0.03x) Solving -0.6 + 0.78x = -0.02 + 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. -0.6 + 0.78x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.78x + -0.03x = 0.75x -0.6 + 0.75x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.6 + 0.75x = -0.02 + 0.00 -0.6 + 0.75x = -0.02 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.75x = -0.02 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.75x = -0.02 + 0.6 0.75x = -0.02 + 0.6 Combine like terms: -0.02 + 0.6 = 0.58 0.75x = 0.58 Divide each side by '0.75'. x = 0.7733333333 Simplifying x = 0.7733333333
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