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Simplifying 5x + -1(4x + 6) = x + (5x + -31) Reorder the terms: 5x + -1(6 + 4x) = x + (5x + -31) 5x + (6 * -1 + 4x * -1) = x + (5x + -31) 5x + (-6 + -4x) = x + (5x + -31) Reorder the terms: -6 + 5x + -4x = x + (5x + -31) Combine like terms: 5x + -4x = 1x -6 + 1x = x + (5x + -31) Reorder the terms: -6 + 1x = x + (-31 + 5x) Remove parenthesis around (-31 + 5x) -6 + 1x = x + -31 + 5x Reorder the terms: -6 + 1x = -31 + x + 5x Combine like terms: x + 5x = 6x -6 + 1x = -31 + 6x Solving -6 + 1x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 1x + -6x = -31 + 6x + -6x Combine like terms: 1x + -6x = -5x -6 + -5x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -5x = -31 + 0 -6 + -5x = -31 Add '6' to each side of the equation. -6 + 6 + -5x = -31 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -31 + 6 -5x = -31 + 6 Combine like terms: -31 + 6 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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