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Simplifying 12x + -8 + 2x + -17 = 3x + -4 + -8 + 74 Reorder the terms: -8 + -17 + 12x + 2x = 3x + -4 + -8 + 74 Combine like terms: -8 + -17 = -25 -25 + 12x + 2x = 3x + -4 + -8 + 74 Combine like terms: 12x + 2x = 14x -25 + 14x = 3x + -4 + -8 + 74 Reorder the terms: -25 + 14x = -4 + -8 + 74 + 3x Combine like terms: -4 + -8 = -12 -25 + 14x = -12 + 74 + 3x Combine like terms: -12 + 74 = 62 -25 + 14x = 62 + 3x Solving -25 + 14x = 62 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 14x + -3x = 62 + 3x + -3x Combine like terms: 14x + -3x = 11x -25 + 11x = 62 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 11x = 62 + 0 -25 + 11x = 62 Add '25' to each side of the equation. -25 + 25 + 11x = 62 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = 62 + 25 11x = 62 + 25 Combine like terms: 62 + 25 = 87 11x = 87 Divide each side by '11'. x = 7.909090909 Simplifying x = 7.909090909
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