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Simplifying 4(3x + -2) + (x + 1) = 100 Reorder the terms: 4(-2 + 3x) + (x + 1) = 100 (-2 * 4 + 3x * 4) + (x + 1) = 100 (-8 + 12x) + (x + 1) = 100 Reorder the terms: -8 + 12x + (1 + x) = 100 Remove parenthesis around (1 + x) -8 + 12x + 1 + x = 100 Reorder the terms: -8 + 1 + 12x + x = 100 Combine like terms: -8 + 1 = -7 -7 + 12x + x = 100 Combine like terms: 12x + x = 13x -7 + 13x = 100 Solving -7 + 13x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 13x = 100 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 100 + 7 13x = 100 + 7 Combine like terms: 100 + 7 = 107 13x = 107 Divide each side by '13'. x = 8.230769231 Simplifying x = 8.230769231
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