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Simplifying 177 = 7x + 2(4x + 6) Reorder the terms: 177 = 7x + 2(6 + 4x) 177 = 7x + (6 * 2 + 4x * 2) 177 = 7x + (12 + 8x) Reorder the terms: 177 = 12 + 7x + 8x Combine like terms: 7x + 8x = 15x 177 = 12 + 15x Solving 177 = 12 + 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. 177 + -15x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 177 + -15x = 12 + 0 177 + -15x = 12 Add '-177' to each side of the equation. 177 + -177 + -15x = 12 + -177 Combine like terms: 177 + -177 = 0 0 + -15x = 12 + -177 -15x = 12 + -177 Combine like terms: 12 + -177 = -165 -15x = -165 Divide each side by '-15'. x = 11 Simplifying x = 11
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