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Simplifying 7(5x + -3) = -6(-4 + -5x) Reorder the terms: 7(-3 + 5x) = -6(-4 + -5x) (-3 * 7 + 5x * 7) = -6(-4 + -5x) (-21 + 35x) = -6(-4 + -5x) -21 + 35x = (-4 * -6 + -5x * -6) -21 + 35x = (24 + 30x) Solving -21 + 35x = 24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -21 + 35x + -30x = 24 + 30x + -30x Combine like terms: 35x + -30x = 5x -21 + 5x = 24 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + 5x = 24 + 0 -21 + 5x = 24 Add '21' to each side of the equation. -21 + 21 + 5x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 24 + 21 5x = 24 + 21 Combine like terms: 24 + 21 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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