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Simplifying 15x + 7(8 + 3x) = 15x + 182 15x + (8 * 7 + 3x * 7) = 15x + 182 15x + (56 + 21x) = 15x + 182 Reorder the terms: 56 + 15x + 21x = 15x + 182 Combine like terms: 15x + 21x = 36x 56 + 36x = 15x + 182 Reorder the terms: 56 + 36x = 182 + 15x Solving 56 + 36x = 182 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 56 + 36x + -15x = 182 + 15x + -15x Combine like terms: 36x + -15x = 21x 56 + 21x = 182 + 15x + -15x Combine like terms: 15x + -15x = 0 56 + 21x = 182 + 0 56 + 21x = 182 Add '-56' to each side of the equation. 56 + -56 + 21x = 182 + -56 Combine like terms: 56 + -56 = 0 0 + 21x = 182 + -56 21x = 182 + -56 Combine like terms: 182 + -56 = 126 21x = 126 Divide each side by '21'. x = 6 Simplifying x = 6
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