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Simplifying 7(4x + 3) + 4x = -27 + 8x Reorder the terms: 7(3 + 4x) + 4x = -27 + 8x (3 * 7 + 4x * 7) + 4x = -27 + 8x (21 + 28x) + 4x = -27 + 8x Combine like terms: 28x + 4x = 32x 21 + 32x = -27 + 8x Solving 21 + 32x = -27 + 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. 21 + 32x + -8x = -27 + 8x + -8x Combine like terms: 32x + -8x = 24x 21 + 24x = -27 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 24x = -27 + 0 21 + 24x = -27 Add '-21' to each side of the equation. 21 + -21 + 24x = -27 + -21 Combine like terms: 21 + -21 = 0 0 + 24x = -27 + -21 24x = -27 + -21 Combine like terms: -27 + -21 = -48 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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