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Simplifying (2x + 6) * 3 = x(4) + 8 Reorder the terms: (6 + 2x) * 3 = x(4) + 8 Reorder the terms for easier multiplication: 3(6 + 2x) = x(4) + 8 (6 * 3 + 2x * 3) = x(4) + 8 (18 + 6x) = x(4) + 8 Reorder the terms for easier multiplication: 18 + 6x = 4x + 8 Reorder the terms: 18 + 6x = 8 + 4x Solving 18 + 6x = 8 + 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 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x 18 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 2x = 8 + 0 18 + 2x = 8 Add '-18' to each side of the equation. 18 + -18 + 2x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 8 + -18 2x = 8 + -18 Combine like terms: 8 + -18 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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