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Simplifying 2(x + 7) + x + -3(4x) = 100 Reorder the terms: 2(7 + x) + x + -3(4x) = 100 (7 * 2 + x * 2) + x + -3(4x) = 100 (14 + 2x) + x + -3(4x) = 100 Remove parenthesis around (4x) 14 + 2x + x + -3 * 4x = 100 Multiply -3 * 4 14 + 2x + x + -12x = 100 Combine like terms: 2x + x = 3x 14 + 3x + -12x = 100 Combine like terms: 3x + -12x = -9x 14 + -9x = 100 Solving 14 + -9x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -9x = 100 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 100 + -14 -9x = 100 + -14 Combine like terms: 100 + -14 = 86 -9x = 86 Divide each side by '-9'. x = -9.555555556 Simplifying x = -9.555555556
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