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Simplifying -6(4x + 1) = 7 + -11x Reorder the terms: -6(1 + 4x) = 7 + -11x (1 * -6 + 4x * -6) = 7 + -11x (-6 + -24x) = 7 + -11x Solving -6 + -24x = 7 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -6 + -24x + 11x = 7 + -11x + 11x Combine like terms: -24x + 11x = -13x -6 + -13x = 7 + -11x + 11x Combine like terms: -11x + 11x = 0 -6 + -13x = 7 + 0 -6 + -13x = 7 Add '6' to each side of the equation. -6 + 6 + -13x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = 7 + 6 -13x = 7 + 6 Combine like terms: 7 + 6 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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