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Simplifying 4 + -1(x + 8) = 4x + 31 Reorder the terms: 4 + -1(8 + x) = 4x + 31 4 + (8 * -1 + x * -1) = 4x + 31 4 + (-8 + -1x) = 4x + 31 Combine like terms: 4 + -8 = -4 -4 + -1x = 4x + 31 Reorder the terms: -4 + -1x = 31 + 4x Solving -4 + -1x = 31 + 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 + -1x + -4x = 31 + 4x + -4x Combine like terms: -1x + -4x = -5x -4 + -5x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -5x = 31 + 0 -4 + -5x = 31 Add '4' to each side of the equation. -4 + 4 + -5x = 31 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 31 + 4 -5x = 31 + 4 Combine like terms: 31 + 4 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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