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Simplifying 6(x + 4) + 16(x + 4) + 1 = 0 Reorder the terms: 6(4 + x) + 16(x + 4) + 1 = 0 (4 * 6 + x * 6) + 16(x + 4) + 1 = 0 (24 + 6x) + 16(x + 4) + 1 = 0 Reorder the terms: 24 + 6x + 16(4 + x) + 1 = 0 24 + 6x + (4 * 16 + x * 16) + 1 = 0 24 + 6x + (64 + 16x) + 1 = 0 Reorder the terms: 24 + 64 + 1 + 6x + 16x = 0 Combine like terms: 24 + 64 = 88 88 + 1 + 6x + 16x = 0 Combine like terms: 88 + 1 = 89 89 + 6x + 16x = 0 Combine like terms: 6x + 16x = 22x 89 + 22x = 0 Solving 89 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 22x = 0 + -89 Combine like terms: 89 + -89 = 0 0 + 22x = 0 + -89 22x = 0 + -89 Combine like terms: 0 + -89 = -89 22x = -89 Divide each side by '22'. x = -4.045454545 Simplifying x = -4.045454545
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