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Simplifying 4(6 + -6x) = -5(7 + -1x) + 1 (6 * 4 + -6x * 4) = -5(7 + -1x) + 1 (24 + -24x) = -5(7 + -1x) + 1 24 + -24x = (7 * -5 + -1x * -5) + 1 24 + -24x = (-35 + 5x) + 1 Reorder the terms: 24 + -24x = -35 + 1 + 5x Combine like terms: -35 + 1 = -34 24 + -24x = -34 + 5x Solving 24 + -24x = -34 + 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. 24 + -24x + -5x = -34 + 5x + -5x Combine like terms: -24x + -5x = -29x 24 + -29x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -29x = -34 + 0 24 + -29x = -34 Add '-24' to each side of the equation. 24 + -24 + -29x = -34 + -24 Combine like terms: 24 + -24 = 0 0 + -29x = -34 + -24 -29x = -34 + -24 Combine like terms: -34 + -24 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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