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Simplifying 5 + (1 + 2(2x + -3)) = 6(x + 5) Reorder the terms: 5 + (1 + 2(-3 + 2x)) = 6(x + 5) 5 + (1 + (-3 * 2 + 2x * 2)) = 6(x + 5) 5 + (1 + (-6 + 4x)) = 6(x + 5) Combine like terms: 1 + -6 = -5 5 + (-5 + 4x) = 6(x + 5) Remove parenthesis around (-5 + 4x) 5 + -5 + 4x = 6(x + 5) Combine like terms: 5 + -5 = 0 0 + 4x = 6(x + 5) 4x = 6(x + 5) Reorder the terms: 4x = 6(5 + x) 4x = (5 * 6 + x * 6) 4x = (30 + 6x) Solving 4x = 30 + 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. 4x + -6x = 30 + 6x + -6x Combine like terms: 4x + -6x = -2x -2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -2x = 30 + 0 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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