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Simplifying x + 7 + 2x + 3(x + -1) = 100 Reorder the terms: x + 7 + 2x + 3(-1 + x) = 100 x + 7 + 2x + (-1 * 3 + x * 3) = 100 x + 7 + 2x + (-3 + 3x) = 100 Reorder the terms: 7 + -3 + x + 2x + 3x = 100 Combine like terms: 7 + -3 = 4 4 + x + 2x + 3x = 100 Combine like terms: x + 2x = 3x 4 + 3x + 3x = 100 Combine like terms: 3x + 3x = 6x 4 + 6x = 100 Solving 4 + 6x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6x = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 100 + -4 6x = 100 + -4 Combine like terms: 100 + -4 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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