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Simplifying 3(4 + 3) + -2 = 12x + 7 Combine like terms: 4 + 3 = 7 3(7) + -2 = 12x + 7 Multiply 3 * 7 21 + -2 = 12x + 7 Combine like terms: 21 + -2 = 19 19 = 12x + 7 Reorder the terms: 19 = 7 + 12x Solving 19 = 7 + 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. 19 + -12x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + -12x = 7 + 0 19 + -12x = 7 Add '-19' to each side of the equation. 19 + -19 + -12x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + -12x = 7 + -19 -12x = 7 + -19 Combine like terms: 7 + -19 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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