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Simplifying 26 + -1(4x + -11) = -5(x + 7) Reorder the terms: 26 + -1(-11 + 4x) = -5(x + 7) 26 + (-11 * -1 + 4x * -1) = -5(x + 7) 26 + (11 + -4x) = -5(x + 7) Combine like terms: 26 + 11 = 37 37 + -4x = -5(x + 7) Reorder the terms: 37 + -4x = -5(7 + x) 37 + -4x = (7 * -5 + x * -5) 37 + -4x = (-35 + -5x) Solving 37 + -4x = -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. 37 + -4x + 5x = -35 + -5x + 5x Combine like terms: -4x + 5x = 1x 37 + 1x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 37 + 1x = -35 + 0 37 + 1x = -35 Add '-37' to each side of the equation. 37 + -37 + 1x = -35 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = -35 + -37 1x = -35 + -37 Combine like terms: -35 + -37 = -72 1x = -72 Divide each side by '1'. x = -72 Simplifying x = -72
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