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Simplifying x + -1(8x + -69) + (6x + -50) = 2x + -1(x + -5) Reorder the terms: x + -1(-69 + 8x) + (6x + -50) = 2x + -1(x + -5) x + (-69 * -1 + 8x * -1) + (6x + -50) = 2x + -1(x + -5) x + (69 + -8x) + (6x + -50) = 2x + -1(x + -5) Reorder the terms: x + 69 + -8x + (-50 + 6x) = 2x + -1(x + -5) Remove parenthesis around (-50 + 6x) x + 69 + -8x + -50 + 6x = 2x + -1(x + -5) Reorder the terms: 69 + -50 + x + -8x + 6x = 2x + -1(x + -5) Combine like terms: 69 + -50 = 19 19 + x + -8x + 6x = 2x + -1(x + -5) Combine like terms: x + -8x = -7x 19 + -7x + 6x = 2x + -1(x + -5) Combine like terms: -7x + 6x = -1x 19 + -1x = 2x + -1(x + -5) Reorder the terms: 19 + -1x = 2x + -1(-5 + x) 19 + -1x = 2x + (-5 * -1 + x * -1) 19 + -1x = 2x + (5 + -1x) Reorder the terms: 19 + -1x = 5 + 2x + -1x Combine like terms: 2x + -1x = 1x 19 + -1x = 5 + 1x Solving 19 + -1x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + -1x + -1x = 5 + 1x + -1x Combine like terms: -1x + -1x = -2x 19 + -2x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 19 + -2x = 5 + 0 19 + -2x = 5 Add '-19' to each side of the equation. 19 + -19 + -2x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 5 + -19 -2x = 5 + -19 Combine like terms: 5 + -19 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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