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