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Simplifying 4x + 34 = -2(1 + 7x) Reorder the terms: 34 + 4x = -2(1 + 7x) 34 + 4x = (1 * -2 + 7x * -2) 34 + 4x = (-2 + -14x) Solving 34 + 4x = -2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 34 + 4x + 14x = -2 + -14x + 14x Combine like terms: 4x + 14x = 18x 34 + 18x = -2 + -14x + 14x Combine like terms: -14x + 14x = 0 34 + 18x = -2 + 0 34 + 18x = -2 Add '-34' to each side of the equation. 34 + -34 + 18x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 18x = -2 + -34 18x = -2 + -34 Combine like terms: -2 + -34 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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