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Simplifying 5.4x + 34 = 12x + 8.5 Reorder the terms: 34 + 5.4x = 12x + 8.5 Reorder the terms: 34 + 5.4x = 8.5 + 12x Solving 34 + 5.4x = 8.5 + 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 + 5.4x + -12x = 8.5 + 12x + -12x Combine like terms: 5.4x + -12x = -6.6x 34 + -6.6x = 8.5 + 12x + -12x Combine like terms: 12x + -12x = 0 34 + -6.6x = 8.5 + 0 34 + -6.6x = 8.5 Add '-34' to each side of the equation. 34 + -34 + -6.6x = 8.5 + -34 Combine like terms: 34 + -34 = 0 0 + -6.6x = 8.5 + -34 -6.6x = 8.5 + -34 Combine like terms: 8.5 + -34 = -25.5 -6.6x = -25.5 Divide each side by '-6.6'. x = 3.863636364 Simplifying x = 3.863636364
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