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Simplifying x + -1(8 + -69) + -1(6x + -50) = 2x + -1(x + -5) Combine like terms: 8 + -69 = -61 x + -1(-61) + -1(6x + -50) = 2x + -1(x + -5) Multiply -1 * -61 x + 61 + -1(6x + -50) = 2x + -1(x + -5) Reorder the terms: x + 61 + -1(-50 + 6x) = 2x + -1(x + -5) x + 61 + (-50 * -1 + 6x * -1) = 2x + -1(x + -5) x + 61 + (50 + -6x) = 2x + -1(x + -5) Reorder the terms: 61 + 50 + x + -6x = 2x + -1(x + -5) Combine like terms: 61 + 50 = 111 111 + x + -6x = 2x + -1(x + -5) Combine like terms: x + -6x = -5x 111 + -5x = 2x + -1(x + -5) Reorder the terms: 111 + -5x = 2x + -1(-5 + x) 111 + -5x = 2x + (-5 * -1 + x * -1) 111 + -5x = 2x + (5 + -1x) Reorder the terms: 111 + -5x = 5 + 2x + -1x Combine like terms: 2x + -1x = 1x 111 + -5x = 5 + 1x Solving 111 + -5x = 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. 111 + -5x + -1x = 5 + 1x + -1x Combine like terms: -5x + -1x = -6x 111 + -6x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 111 + -6x = 5 + 0 111 + -6x = 5 Add '-111' to each side of the equation. 111 + -111 + -6x = 5 + -111 Combine like terms: 111 + -111 = 0 0 + -6x = 5 + -111 -6x = 5 + -111 Combine like terms: 5 + -111 = -106 -6x = -106 Divide each side by '-6'. x = 17.66666667 Simplifying x = 17.66666667
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