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Simplifying 2 + -1(6x + -17) = 7(x + -2) Reorder the terms: 2 + -1(-17 + 6x) = 7(x + -2) 2 + (-17 * -1 + 6x * -1) = 7(x + -2) 2 + (17 + -6x) = 7(x + -2) Combine like terms: 2 + 17 = 19 19 + -6x = 7(x + -2) Reorder the terms: 19 + -6x = 7(-2 + x) 19 + -6x = (-2 * 7 + x * 7) 19 + -6x = (-14 + 7x) Solving 19 + -6x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + -6x + -7x = -14 + 7x + -7x Combine like terms: -6x + -7x = -13x 19 + -13x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -13x = -14 + 0 19 + -13x = -14 Add '-19' to each side of the equation. 19 + -19 + -13x = -14 + -19 Combine like terms: 19 + -19 = 0 0 + -13x = -14 + -19 -13x = -14 + -19 Combine like terms: -14 + -19 = -33 -13x = -33 Divide each side by '-13'. x = 2.538461538 Simplifying x = 2.538461538
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