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Simplifying 85 + -1(4x + 13) = 4(x + 9) + x Reorder the terms: 85 + -1(13 + 4x) = 4(x + 9) + x 85 + (13 * -1 + 4x * -1) = 4(x + 9) + x 85 + (-13 + -4x) = 4(x + 9) + x Combine like terms: 85 + -13 = 72 72 + -4x = 4(x + 9) + x Reorder the terms: 72 + -4x = 4(9 + x) + x 72 + -4x = (9 * 4 + x * 4) + x 72 + -4x = (36 + 4x) + x Combine like terms: 4x + x = 5x 72 + -4x = 36 + 5x Solving 72 + -4x = 36 + 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. 72 + -4x + -5x = 36 + 5x + -5x Combine like terms: -4x + -5x = -9x 72 + -9x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 72 + -9x = 36 + 0 72 + -9x = 36 Add '-72' to each side of the equation. 72 + -72 + -9x = 36 + -72 Combine like terms: 72 + -72 = 0 0 + -9x = 36 + -72 -9x = 36 + -72 Combine like terms: 36 + -72 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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