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Simplifying 10x + -1(14 + -7x) = x + (x + -13) 10x + (14 * -1 + -7x * -1) = x + (x + -13) 10x + (-14 + 7x) = x + (x + -13) Reorder the terms: -14 + 10x + 7x = x + (x + -13) Combine like terms: 10x + 7x = 17x -14 + 17x = x + (x + -13) Reorder the terms: -14 + 17x = x + (-13 + x) Remove parenthesis around (-13 + x) -14 + 17x = x + -13 + x Reorder the terms: -14 + 17x = -13 + x + x Combine like terms: x + x = 2x -14 + 17x = -13 + 2x Solving -14 + 17x = -13 + 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 + 17x + -2x = -13 + 2x + -2x Combine like terms: 17x + -2x = 15x -14 + 15x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 15x = -13 + 0 -14 + 15x = -13 Add '14' to each side of the equation. -14 + 14 + 15x = -13 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = -13 + 14 15x = -13 + 14 Combine like terms: -13 + 14 = 1 15x = 1 Divide each side by '15'. x = 0.06666666667 Simplifying x = 0.06666666667
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