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Simplifying 14x + -1(3x + -34) = 15x + -1(x + -7) Reorder the terms: 14x + -1(-34 + 3x) = 15x + -1(x + -7) 14x + (-34 * -1 + 3x * -1) = 15x + -1(x + -7) 14x + (34 + -3x) = 15x + -1(x + -7) Reorder the terms: 34 + 14x + -3x = 15x + -1(x + -7) Combine like terms: 14x + -3x = 11x 34 + 11x = 15x + -1(x + -7) Reorder the terms: 34 + 11x = 15x + -1(-7 + x) 34 + 11x = 15x + (-7 * -1 + x * -1) 34 + 11x = 15x + (7 + -1x) Reorder the terms: 34 + 11x = 7 + 15x + -1x Combine like terms: 15x + -1x = 14x 34 + 11x = 7 + 14x Solving 34 + 11x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 34 + 11x + -14x = 7 + 14x + -14x Combine like terms: 11x + -14x = -3x 34 + -3x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 34 + -3x = 7 + 0 34 + -3x = 7 Add '-34' to each side of the equation. 34 + -34 + -3x = 7 + -34 Combine like terms: 34 + -34 = 0 0 + -3x = 7 + -34 -3x = 7 + -34 Combine like terms: 7 + -34 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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