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Simplifying 5x + -12 = -1(10x + 14) Reorder the terms: -12 + 5x = -1(10x + 14) Reorder the terms: -12 + 5x = -1(14 + 10x) -12 + 5x = (14 * -1 + 10x * -1) -12 + 5x = (-14 + -10x) Solving -12 + 5x = -14 + -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. -12 + 5x + 10x = -14 + -10x + 10x Combine like terms: 5x + 10x = 15x -12 + 15x = -14 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 15x = -14 + 0 -12 + 15x = -14 Add '12' to each side of the equation. -12 + 12 + 15x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = -14 + 12 15x = -14 + 12 Combine like terms: -14 + 12 = -2 15x = -2 Divide each side by '15'. x = -0.1333333333 Simplifying x = -0.1333333333
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