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Simplifying 5x + 8x + -10 = 2(4x + 10) Reorder the terms: -10 + 5x + 8x = 2(4x + 10) Combine like terms: 5x + 8x = 13x -10 + 13x = 2(4x + 10) Reorder the terms: -10 + 13x = 2(10 + 4x) -10 + 13x = (10 * 2 + 4x * 2) -10 + 13x = (20 + 8x) Solving -10 + 13x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 13x + -8x = 20 + 8x + -8x Combine like terms: 13x + -8x = 5x -10 + 5x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 5x = 20 + 0 -10 + 5x = 20 Add '10' to each side of the equation. -10 + 10 + 5x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 20 + 10 5x = 20 + 10 Combine like terms: 20 + 10 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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