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Simplifying 5(-2x + -8) + -5(7 + -5x) = 8 + 16x Reorder the terms: 5(-8 + -2x) + -5(7 + -5x) = 8 + 16x (-8 * 5 + -2x * 5) + -5(7 + -5x) = 8 + 16x (-40 + -10x) + -5(7 + -5x) = 8 + 16x -40 + -10x + (7 * -5 + -5x * -5) = 8 + 16x -40 + -10x + (-35 + 25x) = 8 + 16x Reorder the terms: -40 + -35 + -10x + 25x = 8 + 16x Combine like terms: -40 + -35 = -75 -75 + -10x + 25x = 8 + 16x Combine like terms: -10x + 25x = 15x -75 + 15x = 8 + 16x Solving -75 + 15x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -75 + 15x + -16x = 8 + 16x + -16x Combine like terms: 15x + -16x = -1x -75 + -1x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -75 + -1x = 8 + 0 -75 + -1x = 8 Add '75' to each side of the equation. -75 + 75 + -1x = 8 + 75 Combine like terms: -75 + 75 = 0 0 + -1x = 8 + 75 -1x = 8 + 75 Combine like terms: 8 + 75 = 83 -1x = 83 Divide each side by '-1'. x = -83 Simplifying x = -83
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