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Simplifying -8(x + 7) = -6x + -40 Reorder the terms: -8(7 + x) = -6x + -40 (7 * -8 + x * -8) = -6x + -40 (-56 + -8x) = -6x + -40 Reorder the terms: -56 + -8x = -40 + -6x Solving -56 + -8x = -40 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -56 + -8x + 6x = -40 + -6x + 6x Combine like terms: -8x + 6x = -2x -56 + -2x = -40 + -6x + 6x Combine like terms: -6x + 6x = 0 -56 + -2x = -40 + 0 -56 + -2x = -40 Add '56' to each side of the equation. -56 + 56 + -2x = -40 + 56 Combine like terms: -56 + 56 = 0 0 + -2x = -40 + 56 -2x = -40 + 56 Combine like terms: -40 + 56 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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