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Simplifying 0.17x + 0.04(x + -5) = 0.01(5x + -4) Reorder the terms: 0.17x + 0.04(-5 + x) = 0.01(5x + -4) 0.17x + (-5 * 0.04 + x * 0.04) = 0.01(5x + -4) 0.17x + (-0.2 + 0.04x) = 0.01(5x + -4) Reorder the terms: -0.2 + 0.17x + 0.04x = 0.01(5x + -4) Combine like terms: 0.17x + 0.04x = 0.21x -0.2 + 0.21x = 0.01(5x + -4) Reorder the terms: -0.2 + 0.21x = 0.01(-4 + 5x) -0.2 + 0.21x = (-4 * 0.01 + 5x * 0.01) -0.2 + 0.21x = (-0.04 + 0.05x) Solving -0.2 + 0.21x = -0.04 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.2 + 0.21x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.21x + -0.05x = 0.16x -0.2 + 0.16x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.2 + 0.16x = -0.04 + 0.00 -0.2 + 0.16x = -0.04 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.16x = -0.04 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.16x = -0.04 + 0.2 0.16x = -0.04 + 0.2 Combine like terms: -0.04 + 0.2 = 0.16 0.16x = 0.16 Divide each side by '0.16'. x = 1 Simplifying x = 1
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