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Simplifying 7 + 3(4x + 7) * 7 + 12x + 21 = 0 Reorder the terms: 7 + 3(7 + 4x) * 7 + 12x + 21 = 0 Reorder the terms for easier multiplication: 7 + 3 * 7(7 + 4x) + 12x + 21 = 0 Multiply 3 * 7 7 + 21(7 + 4x) + 12x + 21 = 0 7 + (7 * 21 + 4x * 21) + 12x + 21 = 0 7 + (147 + 84x) + 12x + 21 = 0 Reorder the terms: 7 + 147 + 21 + 84x + 12x = 0 Combine like terms: 7 + 147 = 154 154 + 21 + 84x + 12x = 0 Combine like terms: 154 + 21 = 175 175 + 84x + 12x = 0 Combine like terms: 84x + 12x = 96x 175 + 96x = 0 Solving 175 + 96x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-175' to each side of the equation. 175 + -175 + 96x = 0 + -175 Combine like terms: 175 + -175 = 0 0 + 96x = 0 + -175 96x = 0 + -175 Combine like terms: 0 + -175 = -175 96x = -175 Divide each side by '96'. x = -1.822916667 Simplifying x = -1.822916667
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