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Simplifying 14x + 0.2(2x + -145) + -1(1 + -1x) = 72 + 3x + -903 Reorder the terms: 14x + 0.2(-145 + 2x) + -1(1 + -1x) = 72 + 3x + -903 14x + (-145 * 0.2 + 2x * 0.2) + -1(1 + -1x) = 72 + 3x + -903 14x + (-29 + 0.4x) + -1(1 + -1x) = 72 + 3x + -903 14x + -29 + 0.4x + (1 * -1 + -1x * -1) = 72 + 3x + -903 14x + -29 + 0.4x + (-1 + 1x) = 72 + 3x + -903 Reorder the terms: -29 + -1 + 14x + 0.4x + 1x = 72 + 3x + -903 Combine like terms: -29 + -1 = -30 -30 + 14x + 0.4x + 1x = 72 + 3x + -903 Combine like terms: 14x + 0.4x = 14.4x -30 + 14.4x + 1x = 72 + 3x + -903 Combine like terms: 14.4x + 1x = 15.4x -30 + 15.4x = 72 + 3x + -903 Reorder the terms: -30 + 15.4x = 72 + -903 + 3x Combine like terms: 72 + -903 = -831 -30 + 15.4x = -831 + 3x Solving -30 + 15.4x = -831 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 15.4x + -3x = -831 + 3x + -3x Combine like terms: 15.4x + -3x = 12.4x -30 + 12.4x = -831 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 12.4x = -831 + 0 -30 + 12.4x = -831 Add '30' to each side of the equation. -30 + 30 + 12.4x = -831 + 30 Combine like terms: -30 + 30 = 0 0 + 12.4x = -831 + 30 12.4x = -831 + 30 Combine like terms: -831 + 30 = -801 12.4x = -801 Divide each side by '12.4'. x = -64.59677419 Simplifying x = -64.59677419
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