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Simplifying 92 + -1(4x + 10) = 4(x + 7) + x Reorder the terms: 92 + -1(10 + 4x) = 4(x + 7) + x 92 + (10 * -1 + 4x * -1) = 4(x + 7) + x 92 + (-10 + -4x) = 4(x + 7) + x Combine like terms: 92 + -10 = 82 82 + -4x = 4(x + 7) + x Reorder the terms: 82 + -4x = 4(7 + x) + x 82 + -4x = (7 * 4 + x * 4) + x 82 + -4x = (28 + 4x) + x Combine like terms: 4x + x = 5x 82 + -4x = 28 + 5x Solving 82 + -4x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 82 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 82 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 82 + -9x = 28 + 0 82 + -9x = 28 Add '-82' to each side of the equation. 82 + -82 + -9x = 28 + -82 Combine like terms: 82 + -82 = 0 0 + -9x = 28 + -82 -9x = 28 + -82 Combine like terms: 28 + -82 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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