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Simplifying -1 + 7(4x + 7) = -24 + 4x Reorder the terms: -1 + 7(7 + 4x) = -24 + 4x -1 + (7 * 7 + 4x * 7) = -24 + 4x -1 + (49 + 28x) = -24 + 4x Combine like terms: -1 + 49 = 48 48 + 28x = -24 + 4x Solving 48 + 28x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + 28x + -4x = -24 + 4x + -4x Combine like terms: 28x + -4x = 24x 48 + 24x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 24x = -24 + 0 48 + 24x = -24 Add '-48' to each side of the equation. 48 + -48 + 24x = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 24x = -24 + -48 24x = -24 + -48 Combine like terms: -24 + -48 = -72 24x = -72 Divide each side by '24'. x = -3 Simplifying x = -3
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