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Simplifying -28 = -8(7x + 7) + 7(5x + -8) Reorder the terms: -28 = -8(7 + 7x) + 7(5x + -8) -28 = (7 * -8 + 7x * -8) + 7(5x + -8) -28 = (-56 + -56x) + 7(5x + -8) Reorder the terms: -28 = -56 + -56x + 7(-8 + 5x) -28 = -56 + -56x + (-8 * 7 + 5x * 7) -28 = -56 + -56x + (-56 + 35x) Reorder the terms: -28 = -56 + -56 + -56x + 35x Combine like terms: -56 + -56 = -112 -28 = -112 + -56x + 35x Combine like terms: -56x + 35x = -21x -28 = -112 + -21x Solving -28 = -112 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -28 + 21x = -112 + -21x + 21x Combine like terms: -21x + 21x = 0 -28 + 21x = -112 + 0 -28 + 21x = -112 Add '28' to each side of the equation. -28 + 28 + 21x = -112 + 28 Combine like terms: -28 + 28 = 0 0 + 21x = -112 + 28 21x = -112 + 28 Combine like terms: -112 + 28 = -84 21x = -84 Divide each side by '21'. x = -4 Simplifying x = -4
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