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Simplifying -8(-1x + 10) = -4(-3x + -7) Reorder the terms: -8(10 + -1x) = -4(-3x + -7) (10 * -8 + -1x * -8) = -4(-3x + -7) (-80 + 8x) = -4(-3x + -7) Reorder the terms: -80 + 8x = -4(-7 + -3x) -80 + 8x = (-7 * -4 + -3x * -4) -80 + 8x = (28 + 12x) Solving -80 + 8x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -80 + 8x + -12x = 28 + 12x + -12x Combine like terms: 8x + -12x = -4x -80 + -4x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 -80 + -4x = 28 + 0 -80 + -4x = 28 Add '80' to each side of the equation. -80 + 80 + -4x = 28 + 80 Combine like terms: -80 + 80 = 0 0 + -4x = 28 + 80 -4x = 28 + 80 Combine like terms: 28 + 80 = 108 -4x = 108 Divide each side by '-4'. x = -27 Simplifying x = -27
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