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Simplifying 5x + -1(14 + -1x) = 32 + -10x 5x + (14 * -1 + -1x * -1) = 32 + -10x 5x + (-14 + 1x) = 32 + -10x Reorder the terms: -14 + 5x + 1x = 32 + -10x Combine like terms: 5x + 1x = 6x -14 + 6x = 32 + -10x Solving -14 + 6x = 32 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -14 + 6x + 10x = 32 + -10x + 10x Combine like terms: 6x + 10x = 16x -14 + 16x = 32 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 16x = 32 + 0 -14 + 16x = 32 Add '14' to each side of the equation. -14 + 14 + 16x = 32 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 32 + 14 16x = 32 + 14 Combine like terms: 32 + 14 = 46 16x = 46 Divide each side by '16'. x = 2.875 Simplifying x = 2.875
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