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Simplifying 8x + -7 + 2x = 10 + 7x + -23 Reorder the terms: -7 + 8x + 2x = 10 + 7x + -23 Combine like terms: 8x + 2x = 10x -7 + 10x = 10 + 7x + -23 Reorder the terms: -7 + 10x = 10 + -23 + 7x Combine like terms: 10 + -23 = -13 -7 + 10x = -13 + 7x Solving -7 + 10x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 10x + -7x = -13 + 7x + -7x Combine like terms: 10x + -7x = 3x -7 + 3x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 3x = -13 + 0 -7 + 3x = -13 Add '7' to each side of the equation. -7 + 7 + 3x = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -13 + 7 3x = -13 + 7 Combine like terms: -13 + 7 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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