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Simplifying 0.14x + 0.4(x + -2) = 0.01(2x + -3) Reorder the terms: 0.14x + 0.4(-2 + x) = 0.01(2x + -3) 0.14x + (-2 * 0.4 + x * 0.4) = 0.01(2x + -3) 0.14x + (-0.8 + 0.4x) = 0.01(2x + -3) Reorder the terms: -0.8 + 0.14x + 0.4x = 0.01(2x + -3) Combine like terms: 0.14x + 0.4x = 0.54x -0.8 + 0.54x = 0.01(2x + -3) Reorder the terms: -0.8 + 0.54x = 0.01(-3 + 2x) -0.8 + 0.54x = (-3 * 0.01 + 2x * 0.01) -0.8 + 0.54x = (-0.03 + 0.02x) Solving -0.8 + 0.54x = -0.03 + 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. -0.8 + 0.54x + -0.02x = -0.03 + 0.02x + -0.02x Combine like terms: 0.54x + -0.02x = 0.52x -0.8 + 0.52x = -0.03 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.8 + 0.52x = -0.03 + 0.00 -0.8 + 0.52x = -0.03 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.52x = -0.03 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.52x = -0.03 + 0.8 0.52x = -0.03 + 0.8 Combine like terms: -0.03 + 0.8 = 0.77 0.52x = 0.77 Divide each side by '0.52'. x = 1.480769231 Simplifying x = 1.480769231
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