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Simplifying 7x + 4 + 6x + 9 = 12x + 5 Reorder the terms: 4 + 9 + 7x + 6x = 12x + 5 Combine like terms: 4 + 9 = 13 13 + 7x + 6x = 12x + 5 Combine like terms: 7x + 6x = 13x 13 + 13x = 12x + 5 Reorder the terms: 13 + 13x = 5 + 12x Solving 13 + 13x = 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. 13 + 13x + -12x = 5 + 12x + -12x Combine like terms: 13x + -12x = 1x 13 + 1x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + 1x = 5 + 0 13 + 1x = 5 Add '-13' to each side of the equation. 13 + -13 + 1x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 5 + -13 1x = 5 + -13 Combine like terms: 5 + -13 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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