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Simplifying (4x + -14) + -34 = -5 + -1(6 + -3x) Reorder the terms: (-14 + 4x) + -34 = -5 + -1(6 + -3x) Remove parenthesis around (-14 + 4x) -14 + 4x + -34 = -5 + -1(6 + -3x) Reorder the terms: -14 + -34 + 4x = -5 + -1(6 + -3x) Combine like terms: -14 + -34 = -48 -48 + 4x = -5 + -1(6 + -3x) -48 + 4x = -5 + (6 * -1 + -3x * -1) -48 + 4x = -5 + (-6 + 3x) Combine like terms: -5 + -6 = -11 -48 + 4x = -11 + 3x Solving -48 + 4x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -48 + 4x + -3x = -11 + 3x + -3x Combine like terms: 4x + -3x = 1x -48 + 1x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 1x = -11 + 0 -48 + 1x = -11 Add '48' to each side of the equation. -48 + 48 + 1x = -11 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -11 + 48 1x = -11 + 48 Combine like terms: -11 + 48 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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