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Simplifying 0.17x + 0.8(x + -2) = 0.01(4x + -2) Reorder the terms: 0.17x + 0.8(-2 + x) = 0.01(4x + -2) 0.17x + (-2 * 0.8 + x * 0.8) = 0.01(4x + -2) 0.17x + (-1.6 + 0.8x) = 0.01(4x + -2) Reorder the terms: -1.6 + 0.17x + 0.8x = 0.01(4x + -2) Combine like terms: 0.17x + 0.8x = 0.97x -1.6 + 0.97x = 0.01(4x + -2) Reorder the terms: -1.6 + 0.97x = 0.01(-2 + 4x) -1.6 + 0.97x = (-2 * 0.01 + 4x * 0.01) -1.6 + 0.97x = (-0.02 + 0.04x) Solving -1.6 + 0.97x = -0.02 + 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. -1.6 + 0.97x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.97x + -0.04x = 0.93x -1.6 + 0.93x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -1.6 + 0.93x = -0.02 + 0.00 -1.6 + 0.93x = -0.02 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.93x = -0.02 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.93x = -0.02 + 1.6 0.93x = -0.02 + 1.6 Combine like terms: -0.02 + 1.6 = 1.58 0.93x = 1.58 Divide each side by '0.93'. x = 1.698924731 Simplifying x = 1.698924731
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