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Simplifying 91 + -1(4x + 8) = 4(x + 5) + x Reorder the terms: 91 + -1(8 + 4x) = 4(x + 5) + x 91 + (8 * -1 + 4x * -1) = 4(x + 5) + x 91 + (-8 + -4x) = 4(x + 5) + x Combine like terms: 91 + -8 = 83 83 + -4x = 4(x + 5) + x Reorder the terms: 83 + -4x = 4(5 + x) + x 83 + -4x = (5 * 4 + x * 4) + x 83 + -4x = (20 + 4x) + x Combine like terms: 4x + x = 5x 83 + -4x = 20 + 5x Solving 83 + -4x = 20 + 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. 83 + -4x + -5x = 20 + 5x + -5x Combine like terms: -4x + -5x = -9x 83 + -9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 83 + -9x = 20 + 0 83 + -9x = 20 Add '-83' to each side of the equation. 83 + -83 + -9x = 20 + -83 Combine like terms: 83 + -83 = 0 0 + -9x = 20 + -83 -9x = 20 + -83 Combine like terms: 20 + -83 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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