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Simplifying 7x + -5 + 4x + 9 = 13x Reorder the terms: -5 + 9 + 7x + 4x = 13x Combine like terms: -5 + 9 = 4 4 + 7x + 4x = 13x Combine like terms: 7x + 4x = 11x 4 + 11x = 13x Solving 4 + 11x = 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. 4 + 11x + -13x = 13x + -13x Combine like terms: 11x + -13x = -2x 4 + -2x = 13x + -13x Combine like terms: 13x + -13x = 0 4 + -2x = 0 Add '-4' to each side of the equation. 4 + -4 + -2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 0 + -4 -2x = 0 + -4 Combine like terms: 0 + -4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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