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Simplifying 5(2x + -1) = 3(2x + 6) Reorder the terms: 5(-1 + 2x) = 3(2x + 6) (-1 * 5 + 2x * 5) = 3(2x + 6) (-5 + 10x) = 3(2x + 6) Reorder the terms: -5 + 10x = 3(6 + 2x) -5 + 10x = (6 * 3 + 2x * 3) -5 + 10x = (18 + 6x) Solving -5 + 10x = 18 + 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 = 18 + 6x + -6x Combine like terms: 10x + -6x = 4x -5 + 4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 4x = 18 + 0 -5 + 4x = 18 Add '5' to each side of the equation. -5 + 5 + 4x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 18 + 5 4x = 18 + 5 Combine like terms: 18 + 5 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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