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Simplifying 34 + 5x = 6(x + 7) Reorder the terms: 34 + 5x = 6(7 + x) 34 + 5x = (7 * 6 + x * 6) 34 + 5x = (42 + 6x) Solving 34 + 5x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 34 + 5x + -6x = 42 + 6x + -6x Combine like terms: 5x + -6x = -1x 34 + -1x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + -1x = 42 + 0 34 + -1x = 42 Add '-34' to each side of the equation. 34 + -34 + -1x = 42 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 42 + -34 -1x = 42 + -34 Combine like terms: 42 + -34 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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