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Simplifying 5(-2x + -7) = -6(1 + -4x) + 5 Reorder the terms: 5(-7 + -2x) = -6(1 + -4x) + 5 (-7 * 5 + -2x * 5) = -6(1 + -4x) + 5 (-35 + -10x) = -6(1 + -4x) + 5 -35 + -10x = (1 * -6 + -4x * -6) + 5 -35 + -10x = (-6 + 24x) + 5 Reorder the terms: -35 + -10x = -6 + 5 + 24x Combine like terms: -6 + 5 = -1 -35 + -10x = -1 + 24x Solving -35 + -10x = -1 + 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. -35 + -10x + -24x = -1 + 24x + -24x Combine like terms: -10x + -24x = -34x -35 + -34x = -1 + 24x + -24x Combine like terms: 24x + -24x = 0 -35 + -34x = -1 + 0 -35 + -34x = -1 Add '35' to each side of the equation. -35 + 35 + -34x = -1 + 35 Combine like terms: -35 + 35 = 0 0 + -34x = -1 + 35 -34x = -1 + 35 Combine like terms: -1 + 35 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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