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Simplifying 26(4x + -11) = -5(x + -7) Reorder the terms: 26(-11 + 4x) = -5(x + -7) (-11 * 26 + 4x * 26) = -5(x + -7) (-286 + 104x) = -5(x + -7) Reorder the terms: -286 + 104x = -5(-7 + x) -286 + 104x = (-7 * -5 + x * -5) -286 + 104x = (35 + -5x) Solving -286 + 104x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -286 + 104x + 5x = 35 + -5x + 5x Combine like terms: 104x + 5x = 109x -286 + 109x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -286 + 109x = 35 + 0 -286 + 109x = 35 Add '286' to each side of the equation. -286 + 286 + 109x = 35 + 286 Combine like terms: -286 + 286 = 0 0 + 109x = 35 + 286 109x = 35 + 286 Combine like terms: 35 + 286 = 321 109x = 321 Divide each side by '109'. x = 2.944954128 Simplifying x = 2.944954128
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