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Simplifying 6(x + -7) + 31 = 5x + -5 Reorder the terms: 6(-7 + x) + 31 = 5x + -5 (-7 * 6 + x * 6) + 31 = 5x + -5 (-42 + 6x) + 31 = 5x + -5 Reorder the terms: -42 + 31 + 6x = 5x + -5 Combine like terms: -42 + 31 = -11 -11 + 6x = 5x + -5 Reorder the terms: -11 + 6x = -5 + 5x Solving -11 + 6x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 6x + -5x = -5 + 5x + -5x Combine like terms: 6x + -5x = 1x -11 + 1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 1x = -5 + 0 -11 + 1x = -5 Add '11' to each side of the equation. -11 + 11 + 1x = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -5 + 11 1x = -5 + 11 Combine like terms: -5 + 11 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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