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Simplifying -126 = -6(1 + 4x) -126 = (1 * -6 + 4x * -6) -126 = (-6 + -24x) Solving -126 = -6 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -126 + 24x = -6 + -24x + 24x Combine like terms: -24x + 24x = 0 -126 + 24x = -6 + 0 -126 + 24x = -6 Add '126' to each side of the equation. -126 + 126 + 24x = -6 + 126 Combine like terms: -126 + 126 = 0 0 + 24x = -6 + 126 24x = -6 + 126 Combine like terms: -6 + 126 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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