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Simplifying 0.14x + 0.6(x + -5) = 0.01(3x + -2) Reorder the terms: 0.14x + 0.6(-5 + x) = 0.01(3x + -2) 0.14x + (-5 * 0.6 + x * 0.6) = 0.01(3x + -2) 0.14x + (-3 + 0.6x) = 0.01(3x + -2) Reorder the terms: -3 + 0.14x + 0.6x = 0.01(3x + -2) Combine like terms: 0.14x + 0.6x = 0.74x -3 + 0.74x = 0.01(3x + -2) Reorder the terms: -3 + 0.74x = 0.01(-2 + 3x) -3 + 0.74x = (-2 * 0.01 + 3x * 0.01) -3 + 0.74x = (-0.02 + 0.03x) Solving -3 + 0.74x = -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. -3 + 0.74x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.74x + -0.03x = 0.71x -3 + 0.71x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -3 + 0.71x = -0.02 + 0.00 -3 + 0.71x = -0.02 Add '3' to each side of the equation. -3 + 3 + 0.71x = -0.02 + 3 Combine like terms: -3 + 3 = 0 0 + 0.71x = -0.02 + 3 0.71x = -0.02 + 3 Combine like terms: -0.02 + 3 = 2.98 0.71x = 2.98 Divide each side by '0.71'. x = 4.197183099 Simplifying x = 4.197183099
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