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Simplifying 10x + -1(5 + 3x + -7) = 12 + -1(2x + 13) Reorder the terms: 10x + -1(5 + -7 + 3x) = 12 + -1(2x + 13) Combine like terms: 5 + -7 = -2 10x + -1(-2 + 3x) = 12 + -1(2x + 13) 10x + (-2 * -1 + 3x * -1) = 12 + -1(2x + 13) 10x + (2 + -3x) = 12 + -1(2x + 13) Reorder the terms: 2 + 10x + -3x = 12 + -1(2x + 13) Combine like terms: 10x + -3x = 7x 2 + 7x = 12 + -1(2x + 13) Reorder the terms: 2 + 7x = 12 + -1(13 + 2x) 2 + 7x = 12 + (13 * -1 + 2x * -1) 2 + 7x = 12 + (-13 + -2x) Combine like terms: 12 + -13 = -1 2 + 7x = -1 + -2x Solving 2 + 7x = -1 + -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. 2 + 7x + 2x = -1 + -2x + 2x Combine like terms: 7x + 2x = 9x 2 + 9x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 9x = -1 + 0 2 + 9x = -1 Add '-2' to each side of the equation. 2 + -2 + 9x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = -1 + -2 9x = -1 + -2 Combine like terms: -1 + -2 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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