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Simplifying 8x + -8 + -51 + 17x = 4 + -36 + 24x Reorder the terms: -8 + -51 + 8x + 17x = 4 + -36 + 24x Combine like terms: -8 + -51 = -59 -59 + 8x + 17x = 4 + -36 + 24x Combine like terms: 8x + 17x = 25x -59 + 25x = 4 + -36 + 24x Combine like terms: 4 + -36 = -32 -59 + 25x = -32 + 24x Solving -59 + 25x = -32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -59 + 25x + -24x = -32 + 24x + -24x Combine like terms: 25x + -24x = 1x -59 + 1x = -32 + 24x + -24x Combine like terms: 24x + -24x = 0 -59 + 1x = -32 + 0 -59 + 1x = -32 Add '59' to each side of the equation. -59 + 59 + 1x = -32 + 59 Combine like terms: -59 + 59 = 0 0 + 1x = -32 + 59 1x = -32 + 59 Combine like terms: -32 + 59 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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