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Simplifying 5x + 2 + -6x + -10 = 1x + 520 Reorder the terms: 2 + -10 + 5x + -6x = 1x + 520 Combine like terms: 2 + -10 = -8 -8 + 5x + -6x = 1x + 520 Combine like terms: 5x + -6x = -1x -8 + -1x = 1x + 520 Reorder the terms: -8 + -1x = 520 + 1x Solving -8 + -1x = 520 + 1x 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 = 520 + 1x + -1x Combine like terms: -1x + -1x = -2x -8 + -2x = 520 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + -2x = 520 + 0 -8 + -2x = 520 Add '8' to each side of the equation. -8 + 8 + -2x = 520 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 520 + 8 -2x = 520 + 8 Combine like terms: 520 + 8 = 528 -2x = 528 Divide each side by '-2'. x = -264 Simplifying x = -264
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