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Simplifying -8(x + 7) = 3 + -4(x + 2) Reorder the terms: -8(7 + x) = 3 + -4(x + 2) (7 * -8 + x * -8) = 3 + -4(x + 2) (-56 + -8x) = 3 + -4(x + 2) Reorder the terms: -56 + -8x = 3 + -4(2 + x) -56 + -8x = 3 + (2 * -4 + x * -4) -56 + -8x = 3 + (-8 + -4x) Combine like terms: 3 + -8 = -5 -56 + -8x = -5 + -4x Solving -56 + -8x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -56 + -8x + 4x = -5 + -4x + 4x Combine like terms: -8x + 4x = -4x -56 + -4x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -56 + -4x = -5 + 0 -56 + -4x = -5 Add '56' to each side of the equation. -56 + 56 + -4x = -5 + 56 Combine like terms: -56 + 56 = 0 0 + -4x = -5 + 56 -4x = -5 + 56 Combine like terms: -5 + 56 = 51 -4x = 51 Divide each side by '-4'. x = -12.75 Simplifying x = -12.75
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