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Simplifying 0.14x + 0.2(x + -1) = 0.01(2x + -5) Reorder the terms: 0.14x + 0.2(-1 + x) = 0.01(2x + -5) 0.14x + (-1 * 0.2 + x * 0.2) = 0.01(2x + -5) 0.14x + (-0.2 + 0.2x) = 0.01(2x + -5) Reorder the terms: -0.2 + 0.14x + 0.2x = 0.01(2x + -5) Combine like terms: 0.14x + 0.2x = 0.34x -0.2 + 0.34x = 0.01(2x + -5) Reorder the terms: -0.2 + 0.34x = 0.01(-5 + 2x) -0.2 + 0.34x = (-5 * 0.01 + 2x * 0.01) -0.2 + 0.34x = (-0.05 + 0.02x) Solving -0.2 + 0.34x = -0.05 + 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. -0.2 + 0.34x + -0.02x = -0.05 + 0.02x + -0.02x Combine like terms: 0.34x + -0.02x = 0.32x -0.2 + 0.32x = -0.05 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.2 + 0.32x = -0.05 + 0.00 -0.2 + 0.32x = -0.05 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.32x = -0.05 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.32x = -0.05 + 0.2 0.32x = -0.05 + 0.2 Combine like terms: -0.05 + 0.2 = 0.15 0.32x = 0.15 Divide each side by '0.32'. x = 0.46875 Simplifying x = 0.46875
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