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Simplifying 5(x + -8) + -1(4 + -8x) = 12x Reorder the terms: 5(-8 + x) + -1(4 + -8x) = 12x (-8 * 5 + x * 5) + -1(4 + -8x) = 12x (-40 + 5x) + -1(4 + -8x) = 12x -40 + 5x + (4 * -1 + -8x * -1) = 12x -40 + 5x + (-4 + 8x) = 12x Reorder the terms: -40 + -4 + 5x + 8x = 12x Combine like terms: -40 + -4 = -44 -44 + 5x + 8x = 12x Combine like terms: 5x + 8x = 13x -44 + 13x = 12x Solving -44 + 13x = 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. -44 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x -44 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 -44 + 1x = 0 Add '44' to each side of the equation. -44 + 44 + 1x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 1x = 0 + 44 1x = 0 + 44 Combine like terms: 0 + 44 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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