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Simplifying -8(x + 11) = 7(2x + 1) Reorder the terms: -8(11 + x) = 7(2x + 1) (11 * -8 + x * -8) = 7(2x + 1) (-88 + -8x) = 7(2x + 1) Reorder the terms: -88 + -8x = 7(1 + 2x) -88 + -8x = (1 * 7 + 2x * 7) -88 + -8x = (7 + 14x) Solving -88 + -8x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -88 + -8x + -14x = 7 + 14x + -14x Combine like terms: -8x + -14x = -22x -88 + -22x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -88 + -22x = 7 + 0 -88 + -22x = 7 Add '88' to each side of the equation. -88 + 88 + -22x = 7 + 88 Combine like terms: -88 + 88 = 0 0 + -22x = 7 + 88 -22x = 7 + 88 Combine like terms: 7 + 88 = 95 -22x = 95 Divide each side by '-22'. x = -4.318181818 Simplifying x = -4.318181818
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