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Simplifying 82 = -1x + 4(x + 7) Reorder the terms: 82 = -1x + 4(7 + x) 82 = -1x + (7 * 4 + x * 4) 82 = -1x + (28 + 4x) Reorder the terms: 82 = 28 + -1x + 4x Combine like terms: -1x + 4x = 3x 82 = 28 + 3x Solving 82 = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 82 + -3x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 82 + -3x = 28 + 0 82 + -3x = 28 Add '-82' to each side of the equation. 82 + -82 + -3x = 28 + -82 Combine like terms: 82 + -82 = 0 0 + -3x = 28 + -82 -3x = 28 + -82 Combine like terms: 28 + -82 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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