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Simplifying 9x + 4 + 5x + 9 = 13x + 4 Reorder the terms: 4 + 9 + 9x + 5x = 13x + 4 Combine like terms: 4 + 9 = 13 13 + 9x + 5x = 13x + 4 Combine like terms: 9x + 5x = 14x 13 + 14x = 13x + 4 Reorder the terms: 13 + 14x = 4 + 13x Solving 13 + 14x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 13 + 14x + -13x = 4 + 13x + -13x Combine like terms: 14x + -13x = 1x 13 + 1x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 13 + 1x = 4 + 0 13 + 1x = 4 Add '-13' to each side of the equation. 13 + -13 + 1x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 4 + -13 1x = 4 + -13 Combine like terms: 4 + -13 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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