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Simplifying 8x + 10 + -5x = 11 + -12x + -13 Reorder the terms: 10 + 8x + -5x = 11 + -12x + -13 Combine like terms: 8x + -5x = 3x 10 + 3x = 11 + -12x + -13 Reorder the terms: 10 + 3x = 11 + -13 + -12x Combine like terms: 11 + -13 = -2 10 + 3x = -2 + -12x Solving 10 + 3x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + 3x + 12x = -2 + -12x + 12x Combine like terms: 3x + 12x = 15x 10 + 15x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 15x = -2 + 0 10 + 15x = -2 Add '-10' to each side of the equation. 10 + -10 + 15x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = -2 + -10 15x = -2 + -10 Combine like terms: -2 + -10 = -12 15x = -12 Divide each side by '15'. x = -0.8 Simplifying x = -0.8
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