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Simplifying 4x + 5 + 9x = 12x + 4 Reorder the terms: 5 + 4x + 9x = 12x + 4 Combine like terms: 4x + 9x = 13x 5 + 13x = 12x + 4 Reorder the terms: 5 + 13x = 4 + 12x Solving 5 + 13x = 4 + 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. 5 + 13x + -12x = 4 + 12x + -12x Combine like terms: 13x + -12x = 1x 5 + 1x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + 1x = 4 + 0 5 + 1x = 4 Add '-5' to each side of the equation. 5 + -5 + 1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 4 + -5 1x = 4 + -5 Combine like terms: 4 + -5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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