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Simplifying 5 + -1(6x + -26) = 7(4x + -5) Reorder the terms: 5 + -1(-26 + 6x) = 7(4x + -5) 5 + (-26 * -1 + 6x * -1) = 7(4x + -5) 5 + (26 + -6x) = 7(4x + -5) Combine like terms: 5 + 26 = 31 31 + -6x = 7(4x + -5) Reorder the terms: 31 + -6x = 7(-5 + 4x) 31 + -6x = (-5 * 7 + 4x * 7) 31 + -6x = (-35 + 28x) Solving 31 + -6x = -35 + 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. 31 + -6x + -28x = -35 + 28x + -28x Combine like terms: -6x + -28x = -34x 31 + -34x = -35 + 28x + -28x Combine like terms: 28x + -28x = 0 31 + -34x = -35 + 0 31 + -34x = -35 Add '-31' to each side of the equation. 31 + -31 + -34x = -35 + -31 Combine like terms: 31 + -31 = 0 0 + -34x = -35 + -31 -34x = -35 + -31 Combine like terms: -35 + -31 = -66 -34x = -66 Divide each side by '-34'. x = 1.941176471 Simplifying x = 1.941176471
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