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Simplifying 3x + 83 = 9x + -5(x + 1) Reorder the terms: 83 + 3x = 9x + -5(x + 1) Reorder the terms: 83 + 3x = 9x + -5(1 + x) 83 + 3x = 9x + (1 * -5 + x * -5) 83 + 3x = 9x + (-5 + -5x) Reorder the terms: 83 + 3x = -5 + 9x + -5x Combine like terms: 9x + -5x = 4x 83 + 3x = -5 + 4x Solving 83 + 3x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 83 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 83 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 83 + -1x = -5 + 0 83 + -1x = -5 Add '-83' to each side of the equation. 83 + -83 + -1x = -5 + -83 Combine like terms: 83 + -83 = 0 0 + -1x = -5 + -83 -1x = -5 + -83 Combine like terms: -5 + -83 = -88 -1x = -88 Divide each side by '-1'. x = 88 Simplifying x = 88
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