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Simplifying 0.14x + 0.6(x + -4) = 0.01(2x + -1) Reorder the terms: 0.14x + 0.6(-4 + x) = 0.01(2x + -1) 0.14x + (-4 * 0.6 + x * 0.6) = 0.01(2x + -1) 0.14x + (-2.4 + 0.6x) = 0.01(2x + -1) Reorder the terms: -2.4 + 0.14x + 0.6x = 0.01(2x + -1) Combine like terms: 0.14x + 0.6x = 0.74x -2.4 + 0.74x = 0.01(2x + -1) Reorder the terms: -2.4 + 0.74x = 0.01(-1 + 2x) -2.4 + 0.74x = (-1 * 0.01 + 2x * 0.01) -2.4 + 0.74x = (-0.01 + 0.02x) Solving -2.4 + 0.74x = -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. -2.4 + 0.74x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.74x + -0.02x = 0.72x -2.4 + 0.72x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2.4 + 0.72x = -0.01 + 0.00 -2.4 + 0.72x = -0.01 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.72x = -0.01 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.72x = -0.01 + 2.4 0.72x = -0.01 + 2.4 Combine like terms: -0.01 + 2.4 = 2.39 0.72x = 2.39 Divide each side by '0.72'. x = 3.319444444 Simplifying x = 3.319444444
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