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Simplifying 6(x + -8) + 31 = 2x + -1 Reorder the terms: 6(-8 + x) + 31 = 2x + -1 (-8 * 6 + x * 6) + 31 = 2x + -1 (-48 + 6x) + 31 = 2x + -1 Reorder the terms: -48 + 31 + 6x = 2x + -1 Combine like terms: -48 + 31 = -17 -17 + 6x = 2x + -1 Reorder the terms: -17 + 6x = -1 + 2x Solving -17 + 6x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 6x + -2x = -1 + 2x + -2x Combine like terms: 6x + -2x = 4x -17 + 4x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 4x = -1 + 0 -17 + 4x = -1 Add '17' to each side of the equation. -17 + 17 + 4x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -1 + 17 4x = -1 + 17 Combine like terms: -1 + 17 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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