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Simplifying 100 + (x + -1) + (2x + -3) + (3x + -4) = 101 + (5x + 5) Reorder the terms: 100 + (-1 + x) + (2x + -3) + (3x + -4) = 101 + (5x + 5) Remove parenthesis around (-1 + x) 100 + -1 + x + (2x + -3) + (3x + -4) = 101 + (5x + 5) Reorder the terms: 100 + -1 + x + (-3 + 2x) + (3x + -4) = 101 + (5x + 5) Remove parenthesis around (-3 + 2x) 100 + -1 + x + -3 + 2x + (3x + -4) = 101 + (5x + 5) Reorder the terms: 100 + -1 + x + -3 + 2x + (-4 + 3x) = 101 + (5x + 5) Remove parenthesis around (-4 + 3x) 100 + -1 + x + -3 + 2x + -4 + 3x = 101 + (5x + 5) Reorder the terms: 100 + -1 + -3 + -4 + x + 2x + 3x = 101 + (5x + 5) Combine like terms: 100 + -1 = 99 99 + -3 + -4 + x + 2x + 3x = 101 + (5x + 5) Combine like terms: 99 + -3 = 96 96 + -4 + x + 2x + 3x = 101 + (5x + 5) Combine like terms: 96 + -4 = 92 92 + x + 2x + 3x = 101 + (5x + 5) Combine like terms: x + 2x = 3x 92 + 3x + 3x = 101 + (5x + 5) Combine like terms: 3x + 3x = 6x 92 + 6x = 101 + (5x + 5) Reorder the terms: 92 + 6x = 101 + (5 + 5x) Remove parenthesis around (5 + 5x) 92 + 6x = 101 + 5 + 5x Combine like terms: 101 + 5 = 106 92 + 6x = 106 + 5x Solving 92 + 6x = 106 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 92 + 6x + -5x = 106 + 5x + -5x Combine like terms: 6x + -5x = 1x 92 + 1x = 106 + 5x + -5x Combine like terms: 5x + -5x = 0 92 + 1x = 106 + 0 92 + 1x = 106 Add '-92' to each side of the equation. 92 + -92 + 1x = 106 + -92 Combine like terms: 92 + -92 = 0 0 + 1x = 106 + -92 1x = 106 + -92 Combine like terms: 106 + -92 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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