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Simplifying -7(-4x + 5) = -6x Reorder the terms: -7(5 + -4x) = -6x (5 * -7 + -4x * -7) = -6x (-35 + 28x) = -6x Solving -35 + 28x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 28x + 6x = -6x + 6x Combine like terms: 28x + 6x = 34x -35 + 34x = -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 34x = 0 Add '35' to each side of the equation. -35 + 35 + 34x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 34x = 0 + 35 34x = 0 + 35 Combine like terms: 0 + 35 = 35 34x = 35 Divide each side by '34'. x = 1.029411765 Simplifying x = 1.029411765
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