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Simplifying 35 + -1(2x + -14) = 40 + -1(x + 2) Reorder the terms: 35 + -1(-14 + 2x) = 40 + -1(x + 2) 35 + (-14 * -1 + 2x * -1) = 40 + -1(x + 2) 35 + (14 + -2x) = 40 + -1(x + 2) Combine like terms: 35 + 14 = 49 49 + -2x = 40 + -1(x + 2) Reorder the terms: 49 + -2x = 40 + -1(2 + x) 49 + -2x = 40 + (2 * -1 + x * -1) 49 + -2x = 40 + (-2 + -1x) Combine like terms: 40 + -2 = 38 49 + -2x = 38 + -1x Solving 49 + -2x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 49 + -2x + x = 38 + -1x + x Combine like terms: -2x + x = -1x 49 + -1x = 38 + -1x + x Combine like terms: -1x + x = 0 49 + -1x = 38 + 0 49 + -1x = 38 Add '-49' to each side of the equation. 49 + -49 + -1x = 38 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 38 + -49 -1x = 38 + -49 Combine like terms: 38 + -49 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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