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Simplifying 4x + 37 = 12x + -51 Reorder the terms: 37 + 4x = 12x + -51 Reorder the terms: 37 + 4x = -51 + 12x Solving 37 + 4x = -51 + 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. 37 + 4x + -12x = -51 + 12x + -12x Combine like terms: 4x + -12x = -8x 37 + -8x = -51 + 12x + -12x Combine like terms: 12x + -12x = 0 37 + -8x = -51 + 0 37 + -8x = -51 Add '-37' to each side of the equation. 37 + -37 + -8x = -51 + -37 Combine like terms: 37 + -37 = 0 0 + -8x = -51 + -37 -8x = -51 + -37 Combine like terms: -51 + -37 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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