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Simplifying -7(x + 4) + x = -5(8 + -1x) Reorder the terms: -7(4 + x) + x = -5(8 + -1x) (4 * -7 + x * -7) + x = -5(8 + -1x) (-28 + -7x) + x = -5(8 + -1x) Combine like terms: -7x + x = -6x -28 + -6x = -5(8 + -1x) -28 + -6x = (8 * -5 + -1x * -5) -28 + -6x = (-40 + 5x) Solving -28 + -6x = -40 + 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. -28 + -6x + -5x = -40 + 5x + -5x Combine like terms: -6x + -5x = -11x -28 + -11x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + -11x = -40 + 0 -28 + -11x = -40 Add '28' to each side of the equation. -28 + 28 + -11x = -40 + 28 Combine like terms: -28 + 28 = 0 0 + -11x = -40 + 28 -11x = -40 + 28 Combine like terms: -40 + 28 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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