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Simplifying -6x + 13 + 7x = 3x + 9 Reorder the terms: 13 + -6x + 7x = 3x + 9 Combine like terms: -6x + 7x = 1x 13 + 1x = 3x + 9 Reorder the terms: 13 + 1x = 9 + 3x Solving 13 + 1x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 1x + -3x = 9 + 3x + -3x Combine like terms: 1x + -3x = -2x 13 + -2x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -2x = 9 + 0 13 + -2x = 9 Add '-13' to each side of the equation. 13 + -13 + -2x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 9 + -13 -2x = 9 + -13 Combine like terms: 9 + -13 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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