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Simplifying -3(5 + 7x) = -8(3x + -3) (5 * -3 + 7x * -3) = -8(3x + -3) (-15 + -21x) = -8(3x + -3) Reorder the terms: -15 + -21x = -8(-3 + 3x) -15 + -21x = (-3 * -8 + 3x * -8) -15 + -21x = (24 + -24x) Solving -15 + -21x = 24 + -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. -15 + -21x + 24x = 24 + -24x + 24x Combine like terms: -21x + 24x = 3x -15 + 3x = 24 + -24x + 24x Combine like terms: -24x + 24x = 0 -15 + 3x = 24 + 0 -15 + 3x = 24 Add '15' to each side of the equation. -15 + 15 + 3x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 24 + 15 3x = 24 + 15 Combine like terms: 24 + 15 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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