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Simplifying 2(4x + 3) + -12 = 3x + -6 Reorder the terms: 2(3 + 4x) + -12 = 3x + -6 (3 * 2 + 4x * 2) + -12 = 3x + -6 (6 + 8x) + -12 = 3x + -6 Reorder the terms: 6 + -12 + 8x = 3x + -6 Combine like terms: 6 + -12 = -6 -6 + 8x = 3x + -6 Reorder the terms: -6 + 8x = -6 + 3x Add '6' to each side of the equation. -6 + 6 + 8x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 8x = -6 + 6 + 3x 8x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 8x = 0 + 3x 8x = 3x Solving 8x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x 5x = 3x + -3x Combine like terms: 3x + -3x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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