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Simplifying 3(3x + -2) + 29 = 2x + 2 Reorder the terms: 3(-2 + 3x) + 29 = 2x + 2 (-2 * 3 + 3x * 3) + 29 = 2x + 2 (-6 + 9x) + 29 = 2x + 2 Reorder the terms: -6 + 29 + 9x = 2x + 2 Combine like terms: -6 + 29 = 23 23 + 9x = 2x + 2 Reorder the terms: 23 + 9x = 2 + 2x Solving 23 + 9x = 2 + 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. 23 + 9x + -2x = 2 + 2x + -2x Combine like terms: 9x + -2x = 7x 23 + 7x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 7x = 2 + 0 23 + 7x = 2 Add '-23' to each side of the equation. 23 + -23 + 7x = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 2 + -23 7x = 2 + -23 Combine like terms: 2 + -23 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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