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Simplifying 55x + -44x + -12x + -12x + 96 = 12x + 99 + -178 + -66x + -30 Reorder the terms: 96 + 55x + -44x + -12x + -12x = 12x + 99 + -178 + -66x + -30 Combine like terms: 55x + -44x = 11x 96 + 11x + -12x + -12x = 12x + 99 + -178 + -66x + -30 Combine like terms: 11x + -12x = -1x 96 + -1x + -12x = 12x + 99 + -178 + -66x + -30 Combine like terms: -1x + -12x = -13x 96 + -13x = 12x + 99 + -178 + -66x + -30 Reorder the terms: 96 + -13x = 99 + -178 + -30 + 12x + -66x Combine like terms: 99 + -178 = -79 96 + -13x = -79 + -30 + 12x + -66x Combine like terms: -79 + -30 = -109 96 + -13x = -109 + 12x + -66x Combine like terms: 12x + -66x = -54x 96 + -13x = -109 + -54x Solving 96 + -13x = -109 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 96 + -13x + 54x = -109 + -54x + 54x Combine like terms: -13x + 54x = 41x 96 + 41x = -109 + -54x + 54x Combine like terms: -54x + 54x = 0 96 + 41x = -109 + 0 96 + 41x = -109 Add '-96' to each side of the equation. 96 + -96 + 41x = -109 + -96 Combine like terms: 96 + -96 = 0 0 + 41x = -109 + -96 41x = -109 + -96 Combine like terms: -109 + -96 = -205 41x = -205 Divide each side by '41'. x = -5 Simplifying x = -5
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