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Simplifying 3x + 10 + -8x = 13 + -15x + 12x + -3 Reorder the terms: 10 + 3x + -8x = 13 + -15x + 12x + -3 Combine like terms: 3x + -8x = -5x 10 + -5x = 13 + -15x + 12x + -3 Reorder the terms: 10 + -5x = 13 + -3 + -15x + 12x Combine like terms: 13 + -3 = 10 10 + -5x = 10 + -15x + 12x Combine like terms: -15x + 12x = -3x 10 + -5x = 10 + -3x Add '-10' to each side of the equation. 10 + -10 + -5x = 10 + -10 + -3x Combine like terms: 10 + -10 = 0 0 + -5x = 10 + -10 + -3x -5x = 10 + -10 + -3x Combine like terms: 10 + -10 = 0 -5x = 0 + -3x -5x = -3x Solving -5x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5x + 3x = -3x + 3x Combine like terms: -5x + 3x = -2x -2x = -3x + 3x Combine like terms: -3x + 3x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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