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Simplifying -8(3x + 7) = 7(-3x + 4) Reorder the terms: -8(7 + 3x) = 7(-3x + 4) (7 * -8 + 3x * -8) = 7(-3x + 4) (-56 + -24x) = 7(-3x + 4) Reorder the terms: -56 + -24x = 7(4 + -3x) -56 + -24x = (4 * 7 + -3x * 7) -56 + -24x = (28 + -21x) Solving -56 + -24x = 28 + -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. -56 + -24x + 21x = 28 + -21x + 21x Combine like terms: -24x + 21x = -3x -56 + -3x = 28 + -21x + 21x Combine like terms: -21x + 21x = 0 -56 + -3x = 28 + 0 -56 + -3x = 28 Add '56' to each side of the equation. -56 + 56 + -3x = 28 + 56 Combine like terms: -56 + 56 = 0 0 + -3x = 28 + 56 -3x = 28 + 56 Combine like terms: 28 + 56 = 84 -3x = 84 Divide each side by '-3'. x = -28 Simplifying x = -28
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