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Simplifying 8x + 10 + -4x = -12x + -13 Reorder the terms: 10 + 8x + -4x = -12x + -13 Combine like terms: 8x + -4x = 4x 10 + 4x = -12x + -13 Reorder the terms: 10 + 4x = -13 + -12x Solving 10 + 4x = -13 + -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 + 4x + 12x = -13 + -12x + 12x Combine like terms: 4x + 12x = 16x 10 + 16x = -13 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 16x = -13 + 0 10 + 16x = -13 Add '-10' to each side of the equation. 10 + -10 + 16x = -13 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = -13 + -10 16x = -13 + -10 Combine like terms: -13 + -10 = -23 16x = -23 Divide each side by '16'. x = -1.4375 Simplifying x = -1.4375
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