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Simplifying 12(x + -31) + 1 = 6(x + 1) + -5 Reorder the terms: 12(-31 + x) + 1 = 6(x + 1) + -5 (-31 * 12 + x * 12) + 1 = 6(x + 1) + -5 (-372 + 12x) + 1 = 6(x + 1) + -5 Reorder the terms: -372 + 1 + 12x = 6(x + 1) + -5 Combine like terms: -372 + 1 = -371 -371 + 12x = 6(x + 1) + -5 Reorder the terms: -371 + 12x = 6(1 + x) + -5 -371 + 12x = (1 * 6 + x * 6) + -5 -371 + 12x = (6 + 6x) + -5 Reorder the terms: -371 + 12x = 6 + -5 + 6x Combine like terms: 6 + -5 = 1 -371 + 12x = 1 + 6x Solving -371 + 12x = 1 + 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. -371 + 12x + -6x = 1 + 6x + -6x Combine like terms: 12x + -6x = 6x -371 + 6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -371 + 6x = 1 + 0 -371 + 6x = 1 Add '371' to each side of the equation. -371 + 371 + 6x = 1 + 371 Combine like terms: -371 + 371 = 0 0 + 6x = 1 + 371 6x = 1 + 371 Combine like terms: 1 + 371 = 372 6x = 372 Divide each side by '6'. x = 62 Simplifying x = 62
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