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Simplifying -34 + 7x = 1 + -2(4 + -8x) -34 + 7x = 1 + (4 * -2 + -8x * -2) -34 + 7x = 1 + (-8 + 16x) Combine like terms: 1 + -8 = -7 -34 + 7x = -7 + 16x Solving -34 + 7x = -7 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -34 + 7x + -16x = -7 + 16x + -16x Combine like terms: 7x + -16x = -9x -34 + -9x = -7 + 16x + -16x Combine like terms: 16x + -16x = 0 -34 + -9x = -7 + 0 -34 + -9x = -7 Add '34' to each side of the equation. -34 + 34 + -9x = -7 + 34 Combine like terms: -34 + 34 = 0 0 + -9x = -7 + 34 -9x = -7 + 34 Combine like terms: -7 + 34 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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