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Simplifying 0.13x + 0.7(x + -5) = 0.01(2x + -1) Reorder the terms: 0.13x + 0.7(-5 + x) = 0.01(2x + -1) 0.13x + (-5 * 0.7 + x * 0.7) = 0.01(2x + -1) 0.13x + (-3.5 + 0.7x) = 0.01(2x + -1) Reorder the terms: -3.5 + 0.13x + 0.7x = 0.01(2x + -1) Combine like terms: 0.13x + 0.7x = 0.83x -3.5 + 0.83x = 0.01(2x + -1) Reorder the terms: -3.5 + 0.83x = 0.01(-1 + 2x) -3.5 + 0.83x = (-1 * 0.01 + 2x * 0.01) -3.5 + 0.83x = (-0.01 + 0.02x) Solving -3.5 + 0.83x = -0.01 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -3.5 + 0.83x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.83x + -0.02x = 0.81x -3.5 + 0.81x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -3.5 + 0.81x = -0.01 + 0.00 -3.5 + 0.81x = -0.01 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.81x = -0.01 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.81x = -0.01 + 3.5 0.81x = -0.01 + 3.5 Combine like terms: -0.01 + 3.5 = 3.49 0.81x = 3.49 Divide each side by '0.81'. x = 4.308641975 Simplifying x = 4.308641975
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