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Simplifying 0.14x + 0.8(x + -1) = 0.01(4x + -5) Reorder the terms: 0.14x + 0.8(-1 + x) = 0.01(4x + -5) 0.14x + (-1 * 0.8 + x * 0.8) = 0.01(4x + -5) 0.14x + (-0.8 + 0.8x) = 0.01(4x + -5) Reorder the terms: -0.8 + 0.14x + 0.8x = 0.01(4x + -5) Combine like terms: 0.14x + 0.8x = 0.94x -0.8 + 0.94x = 0.01(4x + -5) Reorder the terms: -0.8 + 0.94x = 0.01(-5 + 4x) -0.8 + 0.94x = (-5 * 0.01 + 4x * 0.01) -0.8 + 0.94x = (-0.05 + 0.04x) Solving -0.8 + 0.94x = -0.05 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.8 + 0.94x + -0.04x = -0.05 + 0.04x + -0.04x Combine like terms: 0.94x + -0.04x = 0.9x -0.8 + 0.9x = -0.05 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.8 + 0.9x = -0.05 + 0.00 -0.8 + 0.9x = -0.05 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.9x = -0.05 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.9x = -0.05 + 0.8 0.9x = -0.05 + 0.8 Combine like terms: -0.05 + 0.8 = 0.75 0.9x = 0.75 Divide each side by '0.9'. x = 0.8333333333 Simplifying x = 0.8333333333
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