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Simplifying 5x + -6 = 2(2x + 3) Reorder the terms: -6 + 5x = 2(2x + 3) Reorder the terms: -6 + 5x = 2(3 + 2x) -6 + 5x = (3 * 2 + 2x * 2) -6 + 5x = (6 + 4x) Solving -6 + 5x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 5x + -4x = 6 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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