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Simplifying 5(2x + -1) + 3x = 6(2x + 1) Reorder the terms: 5(-1 + 2x) + 3x = 6(2x + 1) (-1 * 5 + 2x * 5) + 3x = 6(2x + 1) (-5 + 10x) + 3x = 6(2x + 1) Combine like terms: 10x + 3x = 13x -5 + 13x = 6(2x + 1) Reorder the terms: -5 + 13x = 6(1 + 2x) -5 + 13x = (1 * 6 + 2x * 6) -5 + 13x = (6 + 12x) Solving -5 + 13x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 13x + -12x = 6 + 12x + -12x Combine like terms: 13x + -12x = 1x -5 + 1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 1x = 6 + 0 -5 + 1x = 6 Add '5' to each side of the equation. -5 + 5 + 1x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 6 + 5 1x = 6 + 5 Combine like terms: 6 + 5 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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