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Simplifying 12x + -5 = 2(2x + 3) Reorder the terms: -5 + 12x = 2(2x + 3) Reorder the terms: -5 + 12x = 2(3 + 2x) -5 + 12x = (3 * 2 + 2x * 2) -5 + 12x = (6 + 4x) Solving -5 + 12x = 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. -5 + 12x + -4x = 6 + 4x + -4x Combine like terms: 12x + -4x = 8x -5 + 8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 8x = 6 + 0 -5 + 8x = 6 Add '5' to each side of the equation. -5 + 5 + 8x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 6 + 5 8x = 6 + 5 Combine like terms: 6 + 5 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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