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Simplifying -12x + 53 = -9 + 14 + -6x Reorder the terms: 53 + -12x = -9 + 14 + -6x Combine like terms: -9 + 14 = 5 53 + -12x = 5 + -6x Solving 53 + -12x = 5 + -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. 53 + -12x + 6x = 5 + -6x + 6x Combine like terms: -12x + 6x = -6x 53 + -6x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 53 + -6x = 5 + 0 53 + -6x = 5 Add '-53' to each side of the equation. 53 + -53 + -6x = 5 + -53 Combine like terms: 53 + -53 = 0 0 + -6x = 5 + -53 -6x = 5 + -53 Combine like terms: 5 + -53 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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