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Simplifying 82 = 7x + 3(2x + -16) Reorder the terms: 82 = 7x + 3(-16 + 2x) 82 = 7x + (-16 * 3 + 2x * 3) 82 = 7x + (-48 + 6x) Reorder the terms: 82 = -48 + 7x + 6x Combine like terms: 7x + 6x = 13x 82 = -48 + 13x Solving 82 = -48 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 82 + -13x = -48 + 13x + -13x Combine like terms: 13x + -13x = 0 82 + -13x = -48 + 0 82 + -13x = -48 Add '-82' to each side of the equation. 82 + -82 + -13x = -48 + -82 Combine like terms: 82 + -82 = 0 0 + -13x = -48 + -82 -13x = -48 + -82 Combine like terms: -48 + -82 = -130 -13x = -130 Divide each side by '-13'. x = 10 Simplifying x = 10
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