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Simplifying 2x + 3 = 2(4x + 6) Reorder the terms: 3 + 2x = 2(4x + 6) Reorder the terms: 3 + 2x = 2(6 + 4x) 3 + 2x = (6 * 2 + 4x * 2) 3 + 2x = (12 + 8x) Solving 3 + 2x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 2x + -8x = 12 + 8x + -8x Combine like terms: 2x + -8x = -6x 3 + -6x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -6x = 12 + 0 3 + -6x = 12 Add '-3' to each side of the equation. 3 + -3 + -6x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 12 + -3 -6x = 12 + -3 Combine like terms: 12 + -3 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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