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Simplifying 35 + -5x + 6x + -36 = -24 + -17x + 17x + 24x Reorder the terms: 35 + -36 + -5x + 6x = -24 + -17x + 17x + 24x Combine like terms: 35 + -36 = -1 -1 + -5x + 6x = -24 + -17x + 17x + 24x Combine like terms: -5x + 6x = 1x -1 + 1x = -24 + -17x + 17x + 24x Combine like terms: -17x + 17x = 0 -1 + 1x = -24 + 0 + 24x -1 + 1x = -24 + 24x Solving -1 + 1x = -24 + 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. -1 + 1x + -24x = -24 + 24x + -24x Combine like terms: 1x + -24x = -23x -1 + -23x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 -1 + -23x = -24 + 0 -1 + -23x = -24 Add '1' to each side of the equation. -1 + 1 + -23x = -24 + 1 Combine like terms: -1 + 1 = 0 0 + -23x = -24 + 1 -23x = -24 + 1 Combine like terms: -24 + 1 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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