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Simplifying 7(3x + 2) + -2 = 4(2x + 3) Reorder the terms: 7(2 + 3x) + -2 = 4(2x + 3) (2 * 7 + 3x * 7) + -2 = 4(2x + 3) (14 + 21x) + -2 = 4(2x + 3) Reorder the terms: 14 + -2 + 21x = 4(2x + 3) Combine like terms: 14 + -2 = 12 12 + 21x = 4(2x + 3) Reorder the terms: 12 + 21x = 4(3 + 2x) 12 + 21x = (3 * 4 + 2x * 4) 12 + 21x = (12 + 8x) Add '-12' to each side of the equation. 12 + -12 + 21x = 12 + -12 + 8x Combine like terms: 12 + -12 = 0 0 + 21x = 12 + -12 + 8x 21x = 12 + -12 + 8x Combine like terms: 12 + -12 = 0 21x = 0 + 8x 21x = 8x Solving 21x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21x + -8x = 8x + -8x Combine like terms: 21x + -8x = 13x 13x = 8x + -8x Combine like terms: 8x + -8x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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