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Simplifying 5x + -3 + 2x + -5 = 5x + -15 + 3x + 5 Reorder the terms: -3 + -5 + 5x + 2x = 5x + -15 + 3x + 5 Combine like terms: -3 + -5 = -8 -8 + 5x + 2x = 5x + -15 + 3x + 5 Combine like terms: 5x + 2x = 7x -8 + 7x = 5x + -15 + 3x + 5 Reorder the terms: -8 + 7x = -15 + 5 + 5x + 3x Combine like terms: -15 + 5 = -10 -8 + 7x = -10 + 5x + 3x Combine like terms: 5x + 3x = 8x -8 + 7x = -10 + 8x Solving -8 + 7x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 7x + -8x = -10 + 8x + -8x Combine like terms: 7x + -8x = -1x -8 + -1x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -1x = -10 + 0 -8 + -1x = -10 Add '8' to each side of the equation. -8 + 8 + -1x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -10 + 8 -1x = -10 + 8 Combine like terms: -10 + 8 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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