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Simplifying 7 + 5(5x + -8) = -2 + -5(5x + 6) Reorder the terms: 7 + 5(-8 + 5x) = -2 + -5(5x + 6) 7 + (-8 * 5 + 5x * 5) = -2 + -5(5x + 6) 7 + (-40 + 25x) = -2 + -5(5x + 6) Combine like terms: 7 + -40 = -33 -33 + 25x = -2 + -5(5x + 6) Reorder the terms: -33 + 25x = -2 + -5(6 + 5x) -33 + 25x = -2 + (6 * -5 + 5x * -5) -33 + 25x = -2 + (-30 + -25x) Combine like terms: -2 + -30 = -32 -33 + 25x = -32 + -25x Solving -33 + 25x = -32 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -33 + 25x + 25x = -32 + -25x + 25x Combine like terms: 25x + 25x = 50x -33 + 50x = -32 + -25x + 25x Combine like terms: -25x + 25x = 0 -33 + 50x = -32 + 0 -33 + 50x = -32 Add '33' to each side of the equation. -33 + 33 + 50x = -32 + 33 Combine like terms: -33 + 33 = 0 0 + 50x = -32 + 33 50x = -32 + 33 Combine like terms: -32 + 33 = 1 50x = 1 Divide each side by '50'. x = 0.02 Simplifying x = 0.02
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