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Simplifying 5 + -7(3x + 8) = 6(-2x + -6) + -8x Reorder the terms: 5 + -7(8 + 3x) = 6(-2x + -6) + -8x 5 + (8 * -7 + 3x * -7) = 6(-2x + -6) + -8x 5 + (-56 + -21x) = 6(-2x + -6) + -8x Combine like terms: 5 + -56 = -51 -51 + -21x = 6(-2x + -6) + -8x Reorder the terms: -51 + -21x = 6(-6 + -2x) + -8x -51 + -21x = (-6 * 6 + -2x * 6) + -8x -51 + -21x = (-36 + -12x) + -8x Combine like terms: -12x + -8x = -20x -51 + -21x = -36 + -20x Solving -51 + -21x = -36 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -51 + -21x + 20x = -36 + -20x + 20x Combine like terms: -21x + 20x = -1x -51 + -1x = -36 + -20x + 20x Combine like terms: -20x + 20x = 0 -51 + -1x = -36 + 0 -51 + -1x = -36 Add '51' to each side of the equation. -51 + 51 + -1x = -36 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = -36 + 51 -1x = -36 + 51 Combine like terms: -36 + 51 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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