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Simplifying 3x + 84 = 9x + -5(x + 1) Reorder the terms: 84 + 3x = 9x + -5(x + 1) Reorder the terms: 84 + 3x = 9x + -5(1 + x) 84 + 3x = 9x + (1 * -5 + x * -5) 84 + 3x = 9x + (-5 + -5x) Reorder the terms: 84 + 3x = -5 + 9x + -5x Combine like terms: 9x + -5x = 4x 84 + 3x = -5 + 4x Solving 84 + 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. 84 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 84 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 84 + -1x = -5 + 0 84 + -1x = -5 Add '-84' to each side of the equation. 84 + -84 + -1x = -5 + -84 Combine like terms: 84 + -84 = 0 0 + -1x = -5 + -84 -1x = -5 + -84 Combine like terms: -5 + -84 = -89 -1x = -89 Divide each side by '-1'. x = 89 Simplifying x = 89
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