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Simplifying 4 + (3x) = 5 + (4x + -1) + -31 Reorder the terms: 4 + (3x) = 5 + (-1 + 4x) + -31 Remove parenthesis around (-1 + 4x) 4 + (3x) = 5 + -1 + 4x + -31 Reorder the terms: 4 + (3x) = 5 + -1 + -31 + 4x Combine like terms: 5 + -1 = 4 4 + (3x) = 4 + -31 + 4x Combine like terms: 4 + -31 = -27 4 + (3x) = -27 + 4x Solving 4 + (3x) = -27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + (3x) + -4x = -27 + 4x + -4x Combine like terms: (3x) + -4x = -1x 4 + -1x = -27 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = -27 + 0 4 + -1x = -27 Add '-4' to each side of the equation. 4 + -4 + -1x = -27 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -27 + -4 -1x = -27 + -4 Combine like terms: -27 + -4 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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