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Simplifying 12 + -3x + 7 + 8x = 6x + 12 + 8x + -29 + -3x Reorder the terms: 12 + 7 + -3x + 8x = 6x + 12 + 8x + -29 + -3x Combine like terms: 12 + 7 = 19 19 + -3x + 8x = 6x + 12 + 8x + -29 + -3x Combine like terms: -3x + 8x = 5x 19 + 5x = 6x + 12 + 8x + -29 + -3x Reorder the terms: 19 + 5x = 12 + -29 + 6x + 8x + -3x Combine like terms: 12 + -29 = -17 19 + 5x = -17 + 6x + 8x + -3x Combine like terms: 6x + 8x = 14x 19 + 5x = -17 + 14x + -3x Combine like terms: 14x + -3x = 11x 19 + 5x = -17 + 11x Solving 19 + 5x = -17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 19 + 5x + -11x = -17 + 11x + -11x Combine like terms: 5x + -11x = -6x 19 + -6x = -17 + 11x + -11x Combine like terms: 11x + -11x = 0 19 + -6x = -17 + 0 19 + -6x = -17 Add '-19' to each side of the equation. 19 + -19 + -6x = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = -17 + -19 -6x = -17 + -19 Combine like terms: -17 + -19 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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