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Simplifying -5(8 + -1x) = 11(x + 1) + 3 (8 * -5 + -1x * -5) = 11(x + 1) + 3 (-40 + 5x) = 11(x + 1) + 3 Reorder the terms: -40 + 5x = 11(1 + x) + 3 -40 + 5x = (1 * 11 + x * 11) + 3 -40 + 5x = (11 + 11x) + 3 Reorder the terms: -40 + 5x = 11 + 3 + 11x Combine like terms: 11 + 3 = 14 -40 + 5x = 14 + 11x Solving -40 + 5x = 14 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -40 + 5x + -11x = 14 + 11x + -11x Combine like terms: 5x + -11x = -6x -40 + -6x = 14 + 11x + -11x Combine like terms: 11x + -11x = 0 -40 + -6x = 14 + 0 -40 + -6x = 14 Add '40' to each side of the equation. -40 + 40 + -6x = 14 + 40 Combine like terms: -40 + 40 = 0 0 + -6x = 14 + 40 -6x = 14 + 40 Combine like terms: 14 + 40 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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