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Simplifying 2x + 7(3x + 1) = 4 + -3[2x + (-5) + 3(2x + -5x + 3)] Reorder the terms: 2x + 7(1 + 3x) = 4 + -3[2x + (-5) + 3(2x + -5x + 3)] 2x + (1 * 7 + 3x * 7) = 4 + -3[2x + (-5) + 3(2x + -5x + 3)] 2x + (7 + 21x) = 4 + -3[2x + (-5) + 3(2x + -5x + 3)] Reorder the terms: 7 + 2x + 21x = 4 + -3[2x + (-5) + 3(2x + -5x + 3)] Combine like terms: 2x + 21x = 23x 7 + 23x = 4 + -3[2x + (-5) + 3(2x + -5x + 3)] 7 + 23x = 4 + -3[2x + -5 + 3(2x + -5x + 3)] Reorder the terms: 7 + 23x = 4 + -3[2x + -5 + 3(3 + 2x + -5x)] Combine like terms: 2x + -5x = -3x 7 + 23x = 4 + -3[2x + -5 + 3(3 + -3x)] 7 + 23x = 4 + -3[2x + -5 + (3 * 3 + -3x * 3)] 7 + 23x = 4 + -3[2x + -5 + (9 + -9x)] Reorder the terms: 7 + 23x = 4 + -3[-5 + 9 + 2x + -9x] Combine like terms: -5 + 9 = 4 7 + 23x = 4 + -3[4 + 2x + -9x] Combine like terms: 2x + -9x = -7x 7 + 23x = 4 + -3[4 + -7x] 7 + 23x = 4 + [4 * -3 + -7x * -3] 7 + 23x = 4 + [-12 + 21x] Combine like terms: 4 + -12 = -8 7 + 23x = -8 + 21x Solving 7 + 23x = -8 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 7 + 23x + -21x = -8 + 21x + -21x Combine like terms: 23x + -21x = 2x 7 + 2x = -8 + 21x + -21x Combine like terms: 21x + -21x = 0 7 + 2x = -8 + 0 7 + 2x = -8 Add '-7' to each side of the equation. 7 + -7 + 2x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -8 + -7 2x = -8 + -7 Combine like terms: -8 + -7 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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