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Simplifying 0.14x + 0.5(x + -1) = 0.01(2x + -1) Reorder the terms: 0.14x + 0.5(-1 + x) = 0.01(2x + -1) 0.14x + (-1 * 0.5 + x * 0.5) = 0.01(2x + -1) 0.14x + (-0.5 + 0.5x) = 0.01(2x + -1) Reorder the terms: -0.5 + 0.14x + 0.5x = 0.01(2x + -1) Combine like terms: 0.14x + 0.5x = 0.64x -0.5 + 0.64x = 0.01(2x + -1) Reorder the terms: -0.5 + 0.64x = 0.01(-1 + 2x) -0.5 + 0.64x = (-1 * 0.01 + 2x * 0.01) -0.5 + 0.64x = (-0.01 + 0.02x) Solving -0.5 + 0.64x = -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. -0.5 + 0.64x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.64x + -0.02x = 0.62x -0.5 + 0.62x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.5 + 0.62x = -0.01 + 0.00 -0.5 + 0.62x = -0.01 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.62x = -0.01 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.62x = -0.01 + 0.5 0.62x = -0.01 + 0.5 Combine like terms: -0.01 + 0.5 = 0.49 0.62x = 0.49 Divide each side by '0.62'. x = 0.7903225806 Simplifying x = 0.7903225806
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