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Simplifying 3(5x + -2) + 29 = 12x + 2 Reorder the terms: 3(-2 + 5x) + 29 = 12x + 2 (-2 * 3 + 5x * 3) + 29 = 12x + 2 (-6 + 15x) + 29 = 12x + 2 Reorder the terms: -6 + 29 + 15x = 12x + 2 Combine like terms: -6 + 29 = 23 23 + 15x = 12x + 2 Reorder the terms: 23 + 15x = 2 + 12x Solving 23 + 15x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 23 + 15x + -12x = 2 + 12x + -12x Combine like terms: 15x + -12x = 3x 23 + 3x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 23 + 3x = 2 + 0 23 + 3x = 2 Add '-23' to each side of the equation. 23 + -23 + 3x = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 2 + -23 3x = 2 + -23 Combine like terms: 2 + -23 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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