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Simplifying 12(x + -3) + 2 = 6(x + 1) + -5 Reorder the terms: 12(-3 + x) + 2 = 6(x + 1) + -5 (-3 * 12 + x * 12) + 2 = 6(x + 1) + -5 (-36 + 12x) + 2 = 6(x + 1) + -5 Reorder the terms: -36 + 2 + 12x = 6(x + 1) + -5 Combine like terms: -36 + 2 = -34 -34 + 12x = 6(x + 1) + -5 Reorder the terms: -34 + 12x = 6(1 + x) + -5 -34 + 12x = (1 * 6 + x * 6) + -5 -34 + 12x = (6 + 6x) + -5 Reorder the terms: -34 + 12x = 6 + -5 + 6x Combine like terms: 6 + -5 = 1 -34 + 12x = 1 + 6x Solving -34 + 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. -34 + 12x + -6x = 1 + 6x + -6x Combine like terms: 12x + -6x = 6x -34 + 6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + 6x = 1 + 0 -34 + 6x = 1 Add '34' to each side of the equation. -34 + 34 + 6x = 1 + 34 Combine like terms: -34 + 34 = 0 0 + 6x = 1 + 34 6x = 1 + 34 Combine like terms: 1 + 34 = 35 6x = 35 Divide each side by '6'. x = 5.833333333 Simplifying x = 5.833333333
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