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Simplifying 3(3x + 4) + -2 = 7x + 4 Reorder the terms: 3(4 + 3x) + -2 = 7x + 4 (4 * 3 + 3x * 3) + -2 = 7x + 4 (12 + 9x) + -2 = 7x + 4 Reorder the terms: 12 + -2 + 9x = 7x + 4 Combine like terms: 12 + -2 = 10 10 + 9x = 7x + 4 Reorder the terms: 10 + 9x = 4 + 7x Solving 10 + 9x = 4 + 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. 10 + 9x + -7x = 4 + 7x + -7x Combine like terms: 9x + -7x = 2x 10 + 2x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 2x = 4 + 0 10 + 2x = 4 Add '-10' to each side of the equation. 10 + -10 + 2x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 4 + -10 2x = 4 + -10 Combine like terms: 4 + -10 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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