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Simplifying x + 34 = -6(7 + -7x) + -3x Reorder the terms: 34 + x = -6(7 + -7x) + -3x 34 + x = (7 * -6 + -7x * -6) + -3x 34 + x = (-42 + 42x) + -3x Combine like terms: 42x + -3x = 39x 34 + x = -42 + 39x Solving 34 + x = -42 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 34 + x + -39x = -42 + 39x + -39x Combine like terms: x + -39x = -38x 34 + -38x = -42 + 39x + -39x Combine like terms: 39x + -39x = 0 34 + -38x = -42 + 0 34 + -38x = -42 Add '-34' to each side of the equation. 34 + -34 + -38x = -42 + -34 Combine like terms: 34 + -34 = 0 0 + -38x = -42 + -34 -38x = -42 + -34 Combine like terms: -42 + -34 = -76 -38x = -76 Divide each side by '-38'. x = 2 Simplifying x = 2
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