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Simplifying 3x + 101 + 4x + -33 = 108 + -16x + -100 Reorder the terms: 101 + -33 + 3x + 4x = 108 + -16x + -100 Combine like terms: 101 + -33 = 68 68 + 3x + 4x = 108 + -16x + -100 Combine like terms: 3x + 4x = 7x 68 + 7x = 108 + -16x + -100 Reorder the terms: 68 + 7x = 108 + -100 + -16x Combine like terms: 108 + -100 = 8 68 + 7x = 8 + -16x Solving 68 + 7x = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 68 + 7x + 16x = 8 + -16x + 16x Combine like terms: 7x + 16x = 23x 68 + 23x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 68 + 23x = 8 + 0 68 + 23x = 8 Add '-68' to each side of the equation. 68 + -68 + 23x = 8 + -68 Combine like terms: 68 + -68 = 0 0 + 23x = 8 + -68 23x = 8 + -68 Combine like terms: 8 + -68 = -60 23x = -60 Divide each side by '23'. x = -2.608695652 Simplifying x = -2.608695652
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