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Simplifying -77 = 5(6x + -8) + -1(2x + 5) Reorder the terms: -77 = 5(-8 + 6x) + -1(2x + 5) -77 = (-8 * 5 + 6x * 5) + -1(2x + 5) -77 = (-40 + 30x) + -1(2x + 5) Reorder the terms: -77 = -40 + 30x + -1(5 + 2x) -77 = -40 + 30x + (5 * -1 + 2x * -1) -77 = -40 + 30x + (-5 + -2x) Reorder the terms: -77 = -40 + -5 + 30x + -2x Combine like terms: -40 + -5 = -45 -77 = -45 + 30x + -2x Combine like terms: 30x + -2x = 28x -77 = -45 + 28x Solving -77 = -45 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -77 + -28x = -45 + 28x + -28x Combine like terms: 28x + -28x = 0 -77 + -28x = -45 + 0 -77 + -28x = -45 Add '77' to each side of the equation. -77 + 77 + -28x = -45 + 77 Combine like terms: -77 + 77 = 0 0 + -28x = -45 + 77 -28x = -45 + 77 Combine like terms: -45 + 77 = 32 -28x = 32 Divide each side by '-28'. x = -1.142857143 Simplifying x = -1.142857143
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