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Simplifying -8(x + -2) = 4(x + -25) Reorder the terms: -8(-2 + x) = 4(x + -25) (-2 * -8 + x * -8) = 4(x + -25) (16 + -8x) = 4(x + -25) Reorder the terms: 16 + -8x = 4(-25 + x) 16 + -8x = (-25 * 4 + x * 4) 16 + -8x = (-100 + 4x) Solving 16 + -8x = -100 + 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. 16 + -8x + -4x = -100 + 4x + -4x Combine like terms: -8x + -4x = -12x 16 + -12x = -100 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -12x = -100 + 0 16 + -12x = -100 Add '-16' to each side of the equation. 16 + -16 + -12x = -100 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = -100 + -16 -12x = -100 + -16 Combine like terms: -100 + -16 = -116 -12x = -116 Divide each side by '-12'. x = 9.666666667 Simplifying x = 9.666666667
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