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Simplifying 6x + -1(3x + -14) = 35 + (15 + -6x) Reorder the terms: 6x + -1(-14 + 3x) = 35 + (15 + -6x) 6x + (-14 * -1 + 3x * -1) = 35 + (15 + -6x) 6x + (14 + -3x) = 35 + (15 + -6x) Reorder the terms: 14 + 6x + -3x = 35 + (15 + -6x) Combine like terms: 6x + -3x = 3x 14 + 3x = 35 + (15 + -6x) Remove parenthesis around (15 + -6x) 14 + 3x = 35 + 15 + -6x Combine like terms: 35 + 15 = 50 14 + 3x = 50 + -6x Solving 14 + 3x = 50 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + 3x + 6x = 50 + -6x + 6x Combine like terms: 3x + 6x = 9x 14 + 9x = 50 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 9x = 50 + 0 14 + 9x = 50 Add '-14' to each side of the equation. 14 + -14 + 9x = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 50 + -14 9x = 50 + -14 Combine like terms: 50 + -14 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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