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Simplifying x + -5 = 53 + -12(x + 7) Reorder the terms: -5 + x = 53 + -12(x + 7) Reorder the terms: -5 + x = 53 + -12(7 + x) -5 + x = 53 + (7 * -12 + x * -12) -5 + x = 53 + (-84 + -12x) Combine like terms: 53 + -84 = -31 -5 + x = -31 + -12x Solving -5 + x = -31 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + x + 12x = -31 + -12x + 12x Combine like terms: x + 12x = 13x -5 + 13x = -31 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 13x = -31 + 0 -5 + 13x = -31 Add '5' to each side of the equation. -5 + 5 + 13x = -31 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = -31 + 5 13x = -31 + 5 Combine like terms: -31 + 5 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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