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Simplifying 5x + 6x + 4 + 9 = 3x + 5 + 7x Reorder the terms: 4 + 9 + 5x + 6x = 3x + 5 + 7x Combine like terms: 4 + 9 = 13 13 + 5x + 6x = 3x + 5 + 7x Combine like terms: 5x + 6x = 11x 13 + 11x = 3x + 5 + 7x Reorder the terms: 13 + 11x = 5 + 3x + 7x Combine like terms: 3x + 7x = 10x 13 + 11x = 5 + 10x Solving 13 + 11x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 11x + -10x = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x 13 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 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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