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Simplifying 6x + -3 = 2(3x + 6) + -1x Reorder the terms: -3 + 6x = 2(3x + 6) + -1x Reorder the terms: -3 + 6x = 2(6 + 3x) + -1x -3 + 6x = (6 * 2 + 3x * 2) + -1x -3 + 6x = (12 + 6x) + -1x Combine like terms: 6x + -1x = 5x -3 + 6x = 12 + 5x Solving -3 + 6x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x -3 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 1x = 12 + 0 -3 + 1x = 12 Add '3' to each side of the equation. -3 + 3 + 1x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 12 + 3 1x = 12 + 3 Combine like terms: 12 + 3 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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