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Simplifying 7 + 5(1 + 2(2x + -6)) = 6(x + 7) Reorder the terms: 7 + 5(1 + 2(-6 + 2x)) = 6(x + 7) 7 + 5(1 + (-6 * 2 + 2x * 2)) = 6(x + 7) 7 + 5(1 + (-12 + 4x)) = 6(x + 7) Combine like terms: 1 + -12 = -11 7 + 5(-11 + 4x) = 6(x + 7) 7 + (-11 * 5 + 4x * 5) = 6(x + 7) 7 + (-55 + 20x) = 6(x + 7) Combine like terms: 7 + -55 = -48 -48 + 20x = 6(x + 7) Reorder the terms: -48 + 20x = 6(7 + x) -48 + 20x = (7 * 6 + x * 6) -48 + 20x = (42 + 6x) Solving -48 + 20x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -48 + 20x + -6x = 42 + 6x + -6x Combine like terms: 20x + -6x = 14x -48 + 14x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 14x = 42 + 0 -48 + 14x = 42 Add '48' to each side of the equation. -48 + 48 + 14x = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 14x = 42 + 48 14x = 42 + 48 Combine like terms: 42 + 48 = 90 14x = 90 Divide each side by '14'. x = 6.428571429 Simplifying x = 6.428571429
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