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Simplifying 7x + 9 = 10x + (-3 + 3x) Reorder the terms: 9 + 7x = 10x + (-3 + 3x) Remove parenthesis around (-3 + 3x) 9 + 7x = 10x + -3 + 3x Reorder the terms: 9 + 7x = -3 + 10x + 3x Combine like terms: 10x + 3x = 13x 9 + 7x = -3 + 13x Solving 9 + 7x = -3 + 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. 9 + 7x + -13x = -3 + 13x + -13x Combine like terms: 7x + -13x = -6x 9 + -6x = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -6x = -3 + 0 9 + -6x = -3 Add '-9' to each side of the equation. 9 + -9 + -6x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -3 + -9 -6x = -3 + -9 Combine like terms: -3 + -9 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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