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Simplifying 0.17x + 0.08(x + -5) = 0.01(4x + -5) Reorder the terms: 0.17x + 0.08(-5 + x) = 0.01(4x + -5) 0.17x + (-5 * 0.08 + x * 0.08) = 0.01(4x + -5) 0.17x + (-0.4 + 0.08x) = 0.01(4x + -5) Reorder the terms: -0.4 + 0.17x + 0.08x = 0.01(4x + -5) Combine like terms: 0.17x + 0.08x = 0.25x -0.4 + 0.25x = 0.01(4x + -5) Reorder the terms: -0.4 + 0.25x = 0.01(-5 + 4x) -0.4 + 0.25x = (-5 * 0.01 + 4x * 0.01) -0.4 + 0.25x = (-0.05 + 0.04x) Solving -0.4 + 0.25x = -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. -0.4 + 0.25x + -0.04x = -0.05 + 0.04x + -0.04x Combine like terms: 0.25x + -0.04x = 0.21x -0.4 + 0.21x = -0.05 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.4 + 0.21x = -0.05 + 0.00 -0.4 + 0.21x = -0.05 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.21x = -0.05 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.21x = -0.05 + 0.4 0.21x = -0.05 + 0.4 Combine like terms: -0.05 + 0.4 = 0.35 0.21x = 0.35 Divide each side by '0.21'. x = 1.666666667 Simplifying x = 1.666666667
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