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Simplifying 0.17x + 0.8(x + -5) = 0.01(3x + -5) Reorder the terms: 0.17x + 0.8(-5 + x) = 0.01(3x + -5) 0.17x + (-5 * 0.8 + x * 0.8) = 0.01(3x + -5) 0.17x + (-4 + 0.8x) = 0.01(3x + -5) Reorder the terms: -4 + 0.17x + 0.8x = 0.01(3x + -5) Combine like terms: 0.17x + 0.8x = 0.97x -4 + 0.97x = 0.01(3x + -5) Reorder the terms: -4 + 0.97x = 0.01(-5 + 3x) -4 + 0.97x = (-5 * 0.01 + 3x * 0.01) -4 + 0.97x = (-0.05 + 0.03x) Solving -4 + 0.97x = -0.05 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -4 + 0.97x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.97x + -0.03x = 0.94x -4 + 0.94x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -4 + 0.94x = -0.05 + 0.00 -4 + 0.94x = -0.05 Add '4' to each side of the equation. -4 + 4 + 0.94x = -0.05 + 4 Combine like terms: -4 + 4 = 0 0 + 0.94x = -0.05 + 4 0.94x = -0.05 + 4 Combine like terms: -0.05 + 4 = 3.95 0.94x = 3.95 Divide each side by '0.94'. x = 4.20212766 Simplifying x = 4.20212766
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