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Simplifying 6(1 + 4x) = -5(x + -7) (1 * 6 + 4x * 6) = -5(x + -7) (6 + 24x) = -5(x + -7) Reorder the terms: 6 + 24x = -5(-7 + x) 6 + 24x = (-7 * -5 + x * -5) 6 + 24x = (35 + -5x) Solving 6 + 24x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 24x + 5x = 35 + -5x + 5x Combine like terms: 24x + 5x = 29x 6 + 29x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 29x = 35 + 0 6 + 29x = 35 Add '-6' to each side of the equation. 6 + -6 + 29x = 35 + -6 Combine like terms: 6 + -6 = 0 0 + 29x = 35 + -6 29x = 35 + -6 Combine like terms: 35 + -6 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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