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Simplifying -34 = 8(x + -8) + 7x Reorder the terms: -34 = 8(-8 + x) + 7x -34 = (-8 * 8 + x * 8) + 7x -34 = (-64 + 8x) + 7x Combine like terms: 8x + 7x = 15x -34 = -64 + 15x Solving -34 = -64 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -34 + -15x = -64 + 15x + -15x Combine like terms: 15x + -15x = 0 -34 + -15x = -64 + 0 -34 + -15x = -64 Add '34' to each side of the equation. -34 + 34 + -15x = -64 + 34 Combine like terms: -34 + 34 = 0 0 + -15x = -64 + 34 -15x = -64 + 34 Combine like terms: -64 + 34 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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