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Simplifying (4x + -14) + -34 = 10x + -1(3x + -2) Reorder the terms: (-14 + 4x) + -34 = 10x + -1(3x + -2) Remove parenthesis around (-14 + 4x) -14 + 4x + -34 = 10x + -1(3x + -2) Reorder the terms: -14 + -34 + 4x = 10x + -1(3x + -2) Combine like terms: -14 + -34 = -48 -48 + 4x = 10x + -1(3x + -2) Reorder the terms: -48 + 4x = 10x + -1(-2 + 3x) -48 + 4x = 10x + (-2 * -1 + 3x * -1) -48 + 4x = 10x + (2 + -3x) Reorder the terms: -48 + 4x = 2 + 10x + -3x Combine like terms: 10x + -3x = 7x -48 + 4x = 2 + 7x Solving -48 + 4x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -48 + 4x + -7x = 2 + 7x + -7x Combine like terms: 4x + -7x = -3x -48 + -3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + -3x = 2 + 0 -48 + -3x = 2 Add '48' to each side of the equation. -48 + 48 + -3x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + -3x = 2 + 48 -3x = 2 + 48 Combine like terms: 2 + 48 = 50 -3x = 50 Divide each side by '-3'. x = -16.66666667 Simplifying x = -16.66666667
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