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Simplifying 5x + 15 + -7 = 2x + -10 + 8 Reorder the terms: 15 + -7 + 5x = 2x + -10 + 8 Combine like terms: 15 + -7 = 8 8 + 5x = 2x + -10 + 8 Reorder the terms: 8 + 5x = -10 + 8 + 2x Combine like terms: -10 + 8 = -2 8 + 5x = -2 + 2x Solving 8 + 5x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = -2 + 0 8 + 3x = -2 Add '-8' to each side of the equation. 8 + -8 + 3x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -2 + -8 3x = -2 + -8 Combine like terms: -2 + -8 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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