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Simplifying 2x + 10 + 3x + -5 = 8x + 4 + -12x + -8 Reorder the terms: 10 + -5 + 2x + 3x = 8x + 4 + -12x + -8 Combine like terms: 10 + -5 = 5 5 + 2x + 3x = 8x + 4 + -12x + -8 Combine like terms: 2x + 3x = 5x 5 + 5x = 8x + 4 + -12x + -8 Reorder the terms: 5 + 5x = 4 + -8 + 8x + -12x Combine like terms: 4 + -8 = -4 5 + 5x = -4 + 8x + -12x Combine like terms: 8x + -12x = -4x 5 + 5x = -4 + -4x Solving 5 + 5x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 5x + 4x = -4 + -4x + 4x Combine like terms: 5x + 4x = 9x 5 + 9x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 9x = -4 + 0 5 + 9x = -4 Add '-5' to each side of the equation. 5 + -5 + 9x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = -4 + -5 9x = -4 + -5 Combine like terms: -4 + -5 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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