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Simplifying 0.17x + 0.8(x + -3) = 0.01(4x + -1) Reorder the terms: 0.17x + 0.8(-3 + x) = 0.01(4x + -1) 0.17x + (-3 * 0.8 + x * 0.8) = 0.01(4x + -1) 0.17x + (-2.4 + 0.8x) = 0.01(4x + -1) Reorder the terms: -2.4 + 0.17x + 0.8x = 0.01(4x + -1) Combine like terms: 0.17x + 0.8x = 0.97x -2.4 + 0.97x = 0.01(4x + -1) Reorder the terms: -2.4 + 0.97x = 0.01(-1 + 4x) -2.4 + 0.97x = (-1 * 0.01 + 4x * 0.01) -2.4 + 0.97x = (-0.01 + 0.04x) Solving -2.4 + 0.97x = -0.01 + 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. -2.4 + 0.97x + -0.04x = -0.01 + 0.04x + -0.04x Combine like terms: 0.97x + -0.04x = 0.93x -2.4 + 0.93x = -0.01 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.4 + 0.93x = -0.01 + 0.00 -2.4 + 0.93x = -0.01 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.93x = -0.01 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.93x = -0.01 + 2.4 0.93x = -0.01 + 2.4 Combine like terms: -0.01 + 2.4 = 2.39 0.93x = 2.39 Divide each side by '0.93'. x = 2.569892473 Simplifying x = 2.569892473
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