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Simplifying 2(2x + -5) + 6x + 8 = -10x + 58 Reorder the terms: 2(-5 + 2x) + 6x + 8 = -10x + 58 (-5 * 2 + 2x * 2) + 6x + 8 = -10x + 58 (-10 + 4x) + 6x + 8 = -10x + 58 Reorder the terms: -10 + 8 + 4x + 6x = -10x + 58 Combine like terms: -10 + 8 = -2 -2 + 4x + 6x = -10x + 58 Combine like terms: 4x + 6x = 10x -2 + 10x = -10x + 58 Reorder the terms: -2 + 10x = 58 + -10x Solving -2 + 10x = 58 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -2 + 10x + 10x = 58 + -10x + 10x Combine like terms: 10x + 10x = 20x -2 + 20x = 58 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 20x = 58 + 0 -2 + 20x = 58 Add '2' to each side of the equation. -2 + 2 + 20x = 58 + 2 Combine like terms: -2 + 2 = 0 0 + 20x = 58 + 2 20x = 58 + 2 Combine like terms: 58 + 2 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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