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Simplifying -6(1 + 4x) = 114 (1 * -6 + 4x * -6) = 114 (-6 + -24x) = 114 Solving -6 + -24x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -24x = 114 + 6 Combine like terms: -6 + 6 = 0 0 + -24x = 114 + 6 -24x = 114 + 6 Combine like terms: 114 + 6 = 120 -24x = 120 Divide each side by '-24'. x = -5 Simplifying x = -5
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