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Simplifying -12x + 84 = 3x + -51 Reorder the terms: 84 + -12x = 3x + -51 Reorder the terms: 84 + -12x = -51 + 3x Solving 84 + -12x = -51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 84 + -12x + -3x = -51 + 3x + -3x Combine like terms: -12x + -3x = -15x 84 + -15x = -51 + 3x + -3x Combine like terms: 3x + -3x = 0 84 + -15x = -51 + 0 84 + -15x = -51 Add '-84' to each side of the equation. 84 + -84 + -15x = -51 + -84 Combine like terms: 84 + -84 = 0 0 + -15x = -51 + -84 -15x = -51 + -84 Combine like terms: -51 + -84 = -135 -15x = -135 Divide each side by '-15'. x = 9 Simplifying x = 9
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