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Simplifying 4x + 34 = 12x + -54 Reorder the terms: 34 + 4x = 12x + -54 Reorder the terms: 34 + 4x = -54 + 12x Solving 34 + 4x = -54 + 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. 34 + 4x + -12x = -54 + 12x + -12x Combine like terms: 4x + -12x = -8x 34 + -8x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 34 + -8x = -54 + 0 34 + -8x = -54 Add '-34' to each side of the equation. 34 + -34 + -8x = -54 + -34 Combine like terms: 34 + -34 = 0 0 + -8x = -54 + -34 -8x = -54 + -34 Combine like terms: -54 + -34 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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