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Simplifying 7x + 13 = 9x + 1 Reorder the terms: 13 + 7x = 9x + 1 Reorder the terms: 13 + 7x = 1 + 9x Solving 13 + 7x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + 7x + -9x = 1 + 9x + -9x Combine like terms: 7x + -9x = -2x 13 + -2x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -2x = 1 + 0 13 + -2x = 1 Add '-13' to each side of the equation. 13 + -13 + -2x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 1 + -13 -2x = 1 + -13 Combine like terms: 1 + -13 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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