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Simplifying 4x + 8 = 6 + -7(x + -5) + -11 Reorder the terms: 8 + 4x = 6 + -7(x + -5) + -11 Reorder the terms: 8 + 4x = 6 + -7(-5 + x) + -11 8 + 4x = 6 + (-5 * -7 + x * -7) + -11 8 + 4x = 6 + (35 + -7x) + -11 Reorder the terms: 8 + 4x = 6 + 35 + -11 + -7x Combine like terms: 6 + 35 = 41 8 + 4x = 41 + -11 + -7x Combine like terms: 41 + -11 = 30 8 + 4x = 30 + -7x Solving 8 + 4x = 30 + -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. 8 + 4x + 7x = 30 + -7x + 7x Combine like terms: 4x + 7x = 11x 8 + 11x = 30 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 11x = 30 + 0 8 + 11x = 30 Add '-8' to each side of the equation. 8 + -8 + 11x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 30 + -8 11x = 30 + -8 Combine like terms: 30 + -8 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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