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Simplifying 182 = 6x + 4(7x + 3) Reorder the terms: 182 = 6x + 4(3 + 7x) 182 = 6x + (3 * 4 + 7x * 4) 182 = 6x + (12 + 28x) Reorder the terms: 182 = 12 + 6x + 28x Combine like terms: 6x + 28x = 34x 182 = 12 + 34x Solving 182 = 12 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 182 + -34x = 12 + 34x + -34x Combine like terms: 34x + -34x = 0 182 + -34x = 12 + 0 182 + -34x = 12 Add '-182' to each side of the equation. 182 + -182 + -34x = 12 + -182 Combine like terms: 182 + -182 = 0 0 + -34x = 12 + -182 -34x = 12 + -182 Combine like terms: 12 + -182 = -170 -34x = -170 Divide each side by '-34'. x = 5 Simplifying x = 5
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