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Simplifying 5 + 4[1 + 2(2x + -4)] = 6(x + 5) Reorder the terms: 5 + 4[1 + 2(-4 + 2x)] = 6(x + 5) 5 + 4[1 + (-4 * 2 + 2x * 2)] = 6(x + 5) 5 + 4[1 + (-8 + 4x)] = 6(x + 5) Combine like terms: 1 + -8 = -7 5 + 4[-7 + 4x] = 6(x + 5) 5 + [-7 * 4 + 4x * 4] = 6(x + 5) 5 + [-28 + 16x] = 6(x + 5) Combine like terms: 5 + -28 = -23 -23 + 16x = 6(x + 5) Reorder the terms: -23 + 16x = 6(5 + x) -23 + 16x = (5 * 6 + x * 6) -23 + 16x = (30 + 6x) Solving -23 + 16x = 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. -23 + 16x + -6x = 30 + 6x + -6x Combine like terms: 16x + -6x = 10x -23 + 10x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 10x = 30 + 0 -23 + 10x = 30 Add '23' to each side of the equation. -23 + 23 + 10x = 30 + 23 Combine like terms: -23 + 23 = 0 0 + 10x = 30 + 23 10x = 30 + 23 Combine like terms: 30 + 23 = 53 10x = 53 Divide each side by '10'. x = 5.3 Simplifying x = 5.3
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