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Simplifying 40 + -6x + 12 = 27 + -1(x + 5) Reorder the terms: 40 + 12 + -6x = 27 + -1(x + 5) Combine like terms: 40 + 12 = 52 52 + -6x = 27 + -1(x + 5) Reorder the terms: 52 + -6x = 27 + -1(5 + x) 52 + -6x = 27 + (5 * -1 + x * -1) 52 + -6x = 27 + (-5 + -1x) Combine like terms: 27 + -5 = 22 52 + -6x = 22 + -1x Solving 52 + -6x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 52 + -6x + x = 22 + -1x + x Combine like terms: -6x + x = -5x 52 + -5x = 22 + -1x + x Combine like terms: -1x + x = 0 52 + -5x = 22 + 0 52 + -5x = 22 Add '-52' to each side of the equation. 52 + -52 + -5x = 22 + -52 Combine like terms: 52 + -52 = 0 0 + -5x = 22 + -52 -5x = 22 + -52 Combine like terms: 22 + -52 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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