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Simplifying 34 = -8x + 6(x + 8) Reorder the terms: 34 = -8x + 6(8 + x) 34 = -8x + (8 * 6 + x * 6) 34 = -8x + (48 + 6x) Reorder the terms: 34 = 48 + -8x + 6x Combine like terms: -8x + 6x = -2x 34 = 48 + -2x Solving 34 = 48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + 2x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + 2x = 48 + 0 34 + 2x = 48 Add '-34' to each side of the equation. 34 + -34 + 2x = 48 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 48 + -34 2x = 48 + -34 Combine like terms: 48 + -34 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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