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