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Simplifying 182 = 7x + 4(2x + 8) Reorder the terms: 182 = 7x + 4(8 + 2x) 182 = 7x + (8 * 4 + 2x * 4) 182 = 7x + (32 + 8x) Reorder the terms: 182 = 32 + 7x + 8x Combine like terms: 7x + 8x = 15x 182 = 32 + 15x Solving 182 = 32 + 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. 182 + -15x = 32 + 15x + -15x Combine like terms: 15x + -15x = 0 182 + -15x = 32 + 0 182 + -15x = 32 Add '-182' to each side of the equation. 182 + -182 + -15x = 32 + -182 Combine like terms: 182 + -182 = 0 0 + -15x = 32 + -182 -15x = 32 + -182 Combine like terms: 32 + -182 = -150 -15x = -150 Divide each side by '-15'. x = 10 Simplifying x = 10
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