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Simplifying 2x + 5 + 4x + 31 = 11x + 2 + 7x + 46 Reorder the terms: 5 + 31 + 2x + 4x = 11x + 2 + 7x + 46 Combine like terms: 5 + 31 = 36 36 + 2x + 4x = 11x + 2 + 7x + 46 Combine like terms: 2x + 4x = 6x 36 + 6x = 11x + 2 + 7x + 46 Reorder the terms: 36 + 6x = 2 + 46 + 11x + 7x Combine like terms: 2 + 46 = 48 36 + 6x = 48 + 11x + 7x Combine like terms: 11x + 7x = 18x 36 + 6x = 48 + 18x Solving 36 + 6x = 48 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 36 + 6x + -18x = 48 + 18x + -18x Combine like terms: 6x + -18x = -12x 36 + -12x = 48 + 18x + -18x Combine like terms: 18x + -18x = 0 36 + -12x = 48 + 0 36 + -12x = 48 Add '-36' to each side of the equation. 36 + -36 + -12x = 48 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 48 + -36 -12x = 48 + -36 Combine like terms: 48 + -36 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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