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Simplifying 4x + 34 = -7(x + -8) Reorder the terms: 34 + 4x = -7(x + -8) Reorder the terms: 34 + 4x = -7(-8 + x) 34 + 4x = (-8 * -7 + x * -7) 34 + 4x = (56 + -7x) Solving 34 + 4x = 56 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 34 + 4x + 7x = 56 + -7x + 7x Combine like terms: 4x + 7x = 11x 34 + 11x = 56 + -7x + 7x Combine like terms: -7x + 7x = 0 34 + 11x = 56 + 0 34 + 11x = 56 Add '-34' to each side of the equation. 34 + -34 + 11x = 56 + -34 Combine like terms: 34 + -34 = 0 0 + 11x = 56 + -34 11x = 56 + -34 Combine like terms: 56 + -34 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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