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Simplifying 9x + 13 = 6x + 40 Reorder the terms: 13 + 9x = 6x + 40 Reorder the terms: 13 + 9x = 40 + 6x Solving 13 + 9x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 9x + -6x = 40 + 6x + -6x Combine like terms: 9x + -6x = 3x 13 + 3x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 3x = 40 + 0 13 + 3x = 40 Add '-13' to each side of the equation. 13 + -13 + 3x = 40 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 40 + -13 3x = 40 + -13 Combine like terms: 40 + -13 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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