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Simplifying -12x + -114 = 5x + 11 + 8x Reorder the terms: -114 + -12x = 5x + 11 + 8x Reorder the terms: -114 + -12x = 11 + 5x + 8x Combine like terms: 5x + 8x = 13x -114 + -12x = 11 + 13x Solving -114 + -12x = 11 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -114 + -12x + -13x = 11 + 13x + -13x Combine like terms: -12x + -13x = -25x -114 + -25x = 11 + 13x + -13x Combine like terms: 13x + -13x = 0 -114 + -25x = 11 + 0 -114 + -25x = 11 Add '114' to each side of the equation. -114 + 114 + -25x = 11 + 114 Combine like terms: -114 + 114 = 0 0 + -25x = 11 + 114 -25x = 11 + 114 Combine like terms: 11 + 114 = 125 -25x = 125 Divide each side by '-25'. x = -5 Simplifying x = -5
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