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Simplifying -3 + 7x = -5(-8x + -6) Reorder the terms: -3 + 7x = -5(-6 + -8x) -3 + 7x = (-6 * -5 + -8x * -5) -3 + 7x = (30 + 40x) Solving -3 + 7x = 30 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -3 + 7x + -40x = 30 + 40x + -40x Combine like terms: 7x + -40x = -33x -3 + -33x = 30 + 40x + -40x Combine like terms: 40x + -40x = 0 -3 + -33x = 30 + 0 -3 + -33x = 30 Add '3' to each side of the equation. -3 + 3 + -33x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + -33x = 30 + 3 -33x = 30 + 3 Combine like terms: 30 + 3 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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