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Simplifying 2x + -34 = -7(1 + -3x) + -8 Reorder the terms: -34 + 2x = -7(1 + -3x) + -8 -34 + 2x = (1 * -7 + -3x * -7) + -8 -34 + 2x = (-7 + 21x) + -8 Reorder the terms: -34 + 2x = -7 + -8 + 21x Combine like terms: -7 + -8 = -15 -34 + 2x = -15 + 21x Solving -34 + 2x = -15 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -34 + 2x + -21x = -15 + 21x + -21x Combine like terms: 2x + -21x = -19x -34 + -19x = -15 + 21x + -21x Combine like terms: 21x + -21x = 0 -34 + -19x = -15 + 0 -34 + -19x = -15 Add '34' to each side of the equation. -34 + 34 + -19x = -15 + 34 Combine like terms: -34 + 34 = 0 0 + -19x = -15 + 34 -19x = -15 + 34 Combine like terms: -15 + 34 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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