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Simplifying 8x + 3x + -18 = 17x + -24 Reorder the terms: -18 + 8x + 3x = 17x + -24 Combine like terms: 8x + 3x = 11x -18 + 11x = 17x + -24 Reorder the terms: -18 + 11x = -24 + 17x Solving -18 + 11x = -24 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -18 + 11x + -17x = -24 + 17x + -17x Combine like terms: 11x + -17x = -6x -18 + -6x = -24 + 17x + -17x Combine like terms: 17x + -17x = 0 -18 + -6x = -24 + 0 -18 + -6x = -24 Add '18' to each side of the equation. -18 + 18 + -6x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = -24 + 18 -6x = -24 + 18 Combine like terms: -24 + 18 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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