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Simplifying 5(x + 82) = 6(x + -7) Reorder the terms: 5(82 + x) = 6(x + -7) (82 * 5 + x * 5) = 6(x + -7) (410 + 5x) = 6(x + -7) Reorder the terms: 410 + 5x = 6(-7 + x) 410 + 5x = (-7 * 6 + x * 6) 410 + 5x = (-42 + 6x) Solving 410 + 5x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 410 + 5x + -6x = -42 + 6x + -6x Combine like terms: 5x + -6x = -1x 410 + -1x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 410 + -1x = -42 + 0 410 + -1x = -42 Add '-410' to each side of the equation. 410 + -410 + -1x = -42 + -410 Combine like terms: 410 + -410 = 0 0 + -1x = -42 + -410 -1x = -42 + -410 Combine like terms: -42 + -410 = -452 -1x = -452 Divide each side by '-1'. x = 452 Simplifying x = 452
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