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Simplifying -34 + 7x = 4(4 + 8x) -34 + 7x = (4 * 4 + 8x * 4) -34 + 7x = (16 + 32x) Solving -34 + 7x = 16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -34 + 7x + -32x = 16 + 32x + -32x Combine like terms: 7x + -32x = -25x -34 + -25x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 -34 + -25x = 16 + 0 -34 + -25x = 16 Add '34' to each side of the equation. -34 + 34 + -25x = 16 + 34 Combine like terms: -34 + 34 = 0 0 + -25x = 16 + 34 -25x = 16 + 34 Combine like terms: 16 + 34 = 50 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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