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Simplifying 3(x + 2) + 2x = 7(x + -1) + 9 Reorder the terms: 3(2 + x) + 2x = 7(x + -1) + 9 (2 * 3 + x * 3) + 2x = 7(x + -1) + 9 (6 + 3x) + 2x = 7(x + -1) + 9 Combine like terms: 3x + 2x = 5x 6 + 5x = 7(x + -1) + 9 Reorder the terms: 6 + 5x = 7(-1 + x) + 9 6 + 5x = (-1 * 7 + x * 7) + 9 6 + 5x = (-7 + 7x) + 9 Reorder the terms: 6 + 5x = -7 + 9 + 7x Combine like terms: -7 + 9 = 2 6 + 5x = 2 + 7x Solving 6 + 5x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 5x + -7x = 2 + 7x + -7x Combine like terms: 5x + -7x = -2x 6 + -2x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -2x = 2 + 0 6 + -2x = 2 Add '-6' to each side of the equation. 6 + -6 + -2x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 2 + -6 -2x = 2 + -6 Combine like terms: 2 + -6 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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