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Simplifying 3x + 10 + -4x + -33 = 108 + -16x + -100 Reorder the terms: 10 + -33 + 3x + -4x = 108 + -16x + -100 Combine like terms: 10 + -33 = -23 -23 + 3x + -4x = 108 + -16x + -100 Combine like terms: 3x + -4x = -1x -23 + -1x = 108 + -16x + -100 Reorder the terms: -23 + -1x = 108 + -100 + -16x Combine like terms: 108 + -100 = 8 -23 + -1x = 8 + -16x Solving -23 + -1x = 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. -23 + -1x + 16x = 8 + -16x + 16x Combine like terms: -1x + 16x = 15x -23 + 15x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 -23 + 15x = 8 + 0 -23 + 15x = 8 Add '23' to each side of the equation. -23 + 23 + 15x = 8 + 23 Combine like terms: -23 + 23 = 0 0 + 15x = 8 + 23 15x = 8 + 23 Combine like terms: 8 + 23 = 31 15x = 31 Divide each side by '15'. x = 2.066666667 Simplifying x = 2.066666667
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