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Simplifying (2x + 3) * 6 = -4x + 2 Reorder the terms: (3 + 2x) * 6 = -4x + 2 Reorder the terms for easier multiplication: 6(3 + 2x) = -4x + 2 (3 * 6 + 2x * 6) = -4x + 2 (18 + 12x) = -4x + 2 Reorder the terms: 18 + 12x = 2 + -4x Solving 18 + 12x = 2 + -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. 18 + 12x + 4x = 2 + -4x + 4x Combine like terms: 12x + 4x = 16x 18 + 16x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 16x = 2 + 0 18 + 16x = 2 Add '-18' to each side of the equation. 18 + -18 + 16x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 16x = 2 + -18 16x = 2 + -18 Combine like terms: 2 + -18 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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