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Simplifying 0.5x + -1(14 + -1x) = -30 + -2x 0.5x + (14 * -1 + -1x * -1) = -30 + -2x 0.5x + (-14 + 1x) = -30 + -2x Reorder the terms: -14 + 0.5x + 1x = -30 + -2x Combine like terms: 0.5x + 1x = 1.5x -14 + 1.5x = -30 + -2x Solving -14 + 1.5x = -30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 1.5x + 2x = -30 + -2x + 2x Combine like terms: 1.5x + 2x = 3.5x -14 + 3.5x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 3.5x = -30 + 0 -14 + 3.5x = -30 Add '14' to each side of the equation. -14 + 14 + 3.5x = -30 + 14 Combine like terms: -14 + 14 = 0 0 + 3.5x = -30 + 14 3.5x = -30 + 14 Combine like terms: -30 + 14 = -16 3.5x = -16 Divide each side by '3.5'. x = -4.571428571 Simplifying x = -4.571428571
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