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Simplifying -34 = -7x + 5(3x + 6) Reorder the terms: -34 = -7x + 5(6 + 3x) -34 = -7x + (6 * 5 + 3x * 5) -34 = -7x + (30 + 15x) Reorder the terms: -34 = 30 + -7x + 15x Combine like terms: -7x + 15x = 8x -34 = 30 + 8x Solving -34 = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -34 + -8x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -8x = 30 + 0 -34 + -8x = 30 Add '34' to each side of the equation. -34 + 34 + -8x = 30 + 34 Combine like terms: -34 + 34 = 0 0 + -8x = 30 + 34 -8x = 30 + 34 Combine like terms: 30 + 34 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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