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Simplifying 36 + 8x = 5(5x + -5) + -7 Reorder the terms: 36 + 8x = 5(-5 + 5x) + -7 36 + 8x = (-5 * 5 + 5x * 5) + -7 36 + 8x = (-25 + 25x) + -7 Reorder the terms: 36 + 8x = -25 + -7 + 25x Combine like terms: -25 + -7 = -32 36 + 8x = -32 + 25x Solving 36 + 8x = -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. 36 + 8x + -25x = -32 + 25x + -25x Combine like terms: 8x + -25x = -17x 36 + -17x = -32 + 25x + -25x Combine like terms: 25x + -25x = 0 36 + -17x = -32 + 0 36 + -17x = -32 Add '-36' to each side of the equation. 36 + -36 + -17x = -32 + -36 Combine like terms: 36 + -36 = 0 0 + -17x = -32 + -36 -17x = -32 + -36 Combine like terms: -32 + -36 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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