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Simplifying 50 + -6x + 9x + 7x = 29 + 3x + -78 + -4x Combine like terms: -6x + 9x = 3x 50 + 3x + 7x = 29 + 3x + -78 + -4x Combine like terms: 3x + 7x = 10x 50 + 10x = 29 + 3x + -78 + -4x Reorder the terms: 50 + 10x = 29 + -78 + 3x + -4x Combine like terms: 29 + -78 = -49 50 + 10x = -49 + 3x + -4x Combine like terms: 3x + -4x = -1x 50 + 10x = -49 + -1x Solving 50 + 10x = -49 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 50 + 10x + x = -49 + -1x + x Combine like terms: 10x + x = 11x 50 + 11x = -49 + -1x + x Combine like terms: -1x + x = 0 50 + 11x = -49 + 0 50 + 11x = -49 Add '-50' to each side of the equation. 50 + -50 + 11x = -49 + -50 Combine like terms: 50 + -50 = 0 0 + 11x = -49 + -50 11x = -49 + -50 Combine like terms: -49 + -50 = -99 11x = -99 Divide each side by '11'. x = -9 Simplifying x = -9
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