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Simplifying 34 + -8x = 6x + -3(7 + x) 34 + -8x = 6x + (7 * -3 + x * -3) 34 + -8x = 6x + (-21 + -3x) Reorder the terms: 34 + -8x = -21 + 6x + -3x Combine like terms: 6x + -3x = 3x 34 + -8x = -21 + 3x Solving 34 + -8x = -21 + 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. 34 + -8x + -3x = -21 + 3x + -3x Combine like terms: -8x + -3x = -11x 34 + -11x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -11x = -21 + 0 34 + -11x = -21 Add '-34' to each side of the equation. 34 + -34 + -11x = -21 + -34 Combine like terms: 34 + -34 = 0 0 + -11x = -21 + -34 -11x = -21 + -34 Combine like terms: -21 + -34 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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