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Simplifying 34 = 5x + 6[-2x + 15] Reorder the terms: 34 = 5x + 6[15 + -2x] 34 = 5x + [15 * 6 + -2x * 6] 34 = 5x + [90 + -12x] Reorder the terms: 34 = 90 + 5x + -12x Combine like terms: 5x + -12x = -7x 34 = 90 + -7x Solving 34 = 90 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 34 + 7x = 90 + -7x + 7x Combine like terms: -7x + 7x = 0 34 + 7x = 90 + 0 34 + 7x = 90 Add '-34' to each side of the equation. 34 + -34 + 7x = 90 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = 90 + -34 7x = 90 + -34 Combine like terms: 90 + -34 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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