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Simplifying -8(3x + 7) = 16 + -15x Reorder the terms: -8(7 + 3x) = 16 + -15x (7 * -8 + 3x * -8) = 16 + -15x (-56 + -24x) = 16 + -15x Solving -56 + -24x = 16 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -56 + -24x + 15x = 16 + -15x + 15x Combine like terms: -24x + 15x = -9x -56 + -9x = 16 + -15x + 15x Combine like terms: -15x + 15x = 0 -56 + -9x = 16 + 0 -56 + -9x = 16 Add '56' to each side of the equation. -56 + 56 + -9x = 16 + 56 Combine like terms: -56 + 56 = 0 0 + -9x = 16 + 56 -9x = 16 + 56 Combine like terms: 16 + 56 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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