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Simplifying 4x + 6 + 5x + 8 + 3x + 9 = 25x + -78 + -8x + -21 + -14x + -12 Reorder the terms: 6 + 8 + 9 + 4x + 5x + 3x = 25x + -78 + -8x + -21 + -14x + -12 Combine like terms: 6 + 8 = 14 14 + 9 + 4x + 5x + 3x = 25x + -78 + -8x + -21 + -14x + -12 Combine like terms: 14 + 9 = 23 23 + 4x + 5x + 3x = 25x + -78 + -8x + -21 + -14x + -12 Combine like terms: 4x + 5x = 9x 23 + 9x + 3x = 25x + -78 + -8x + -21 + -14x + -12 Combine like terms: 9x + 3x = 12x 23 + 12x = 25x + -78 + -8x + -21 + -14x + -12 Reorder the terms: 23 + 12x = -78 + -21 + -12 + 25x + -8x + -14x Combine like terms: -78 + -21 = -99 23 + 12x = -99 + -12 + 25x + -8x + -14x Combine like terms: -99 + -12 = -111 23 + 12x = -111 + 25x + -8x + -14x Combine like terms: 25x + -8x = 17x 23 + 12x = -111 + 17x + -14x Combine like terms: 17x + -14x = 3x 23 + 12x = -111 + 3x Solving 23 + 12x = -111 + 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. 23 + 12x + -3x = -111 + 3x + -3x Combine like terms: 12x + -3x = 9x 23 + 9x = -111 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + 9x = -111 + 0 23 + 9x = -111 Add '-23' to each side of the equation. 23 + -23 + 9x = -111 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = -111 + -23 9x = -111 + -23 Combine like terms: -111 + -23 = -134 9x = -134 Divide each side by '9'. x = -14.88888889 Simplifying x = -14.88888889
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