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Simplifying 9 + 4[1 + 2(2x + -4)] = 6(x + 9) Reorder the terms: 9 + 4[1 + 2(-4 + 2x)] = 6(x + 9) 9 + 4[1 + (-4 * 2 + 2x * 2)] = 6(x + 9) 9 + 4[1 + (-8 + 4x)] = 6(x + 9) Combine like terms: 1 + -8 = -7 9 + 4[-7 + 4x] = 6(x + 9) 9 + [-7 * 4 + 4x * 4] = 6(x + 9) 9 + [-28 + 16x] = 6(x + 9) Combine like terms: 9 + -28 = -19 -19 + 16x = 6(x + 9) Reorder the terms: -19 + 16x = 6(9 + x) -19 + 16x = (9 * 6 + x * 6) -19 + 16x = (54 + 6x) Solving -19 + 16x = 54 + 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. -19 + 16x + -6x = 54 + 6x + -6x Combine like terms: 16x + -6x = 10x -19 + 10x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + 10x = 54 + 0 -19 + 10x = 54 Add '19' to each side of the equation. -19 + 19 + 10x = 54 + 19 Combine like terms: -19 + 19 = 0 0 + 10x = 54 + 19 10x = 54 + 19 Combine like terms: 54 + 19 = 73 10x = 73 Divide each side by '10'. x = 7.3 Simplifying x = 7.3
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