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Simplifying 83 + -1(4x + 5) = 4(x + 6) + x Reorder the terms: 83 + -1(5 + 4x) = 4(x + 6) + x 83 + (5 * -1 + 4x * -1) = 4(x + 6) + x 83 + (-5 + -4x) = 4(x + 6) + x Combine like terms: 83 + -5 = 78 78 + -4x = 4(x + 6) + x Reorder the terms: 78 + -4x = 4(6 + x) + x 78 + -4x = (6 * 4 + x * 4) + x 78 + -4x = (24 + 4x) + x Combine like terms: 4x + x = 5x 78 + -4x = 24 + 5x Solving 78 + -4x = 24 + 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. 78 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x 78 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 78 + -9x = 24 + 0 78 + -9x = 24 Add '-78' to each side of the equation. 78 + -78 + -9x = 24 + -78 Combine like terms: 78 + -78 = 0 0 + -9x = 24 + -78 -9x = 24 + -78 Combine like terms: 24 + -78 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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