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Simplifying 5(2x + -1) = 6(x + 2) Reorder the terms: 5(-1 + 2x) = 6(x + 2) (-1 * 5 + 2x * 5) = 6(x + 2) (-5 + 10x) = 6(x + 2) Reorder the terms: -5 + 10x = 6(2 + x) -5 + 10x = (2 * 6 + x * 6) -5 + 10x = (12 + 6x) Solving -5 + 10x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x -5 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 4x = 12 + 0 -5 + 4x = 12 Add '5' to each side of the equation. -5 + 5 + 4x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 12 + 5 4x = 12 + 5 Combine like terms: 12 + 5 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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