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Simplifying 5x + 2 + -6x + -10 = x + 250 Reorder the terms: 2 + -10 + 5x + -6x = x + 250 Combine like terms: 2 + -10 = -8 -8 + 5x + -6x = x + 250 Combine like terms: 5x + -6x = -1x -8 + -1x = x + 250 Reorder the terms: -8 + -1x = 250 + x Solving -8 + -1x = 250 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -1x + -1x = 250 + x + -1x Combine like terms: -1x + -1x = -2x -8 + -2x = 250 + x + -1x Combine like terms: x + -1x = 0 -8 + -2x = 250 + 0 -8 + -2x = 250 Add '8' to each side of the equation. -8 + 8 + -2x = 250 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 250 + 8 -2x = 250 + 8 Combine like terms: 250 + 8 = 258 -2x = 258 Divide each side by '-2'. x = -129 Simplifying x = -129
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