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Simplifying 6x + -6(5 + 3(3x + 7)) = 0 Reorder the terms: 6x + -6(5 + 3(7 + 3x)) = 0 6x + -6(5 + (7 * 3 + 3x * 3)) = 0 6x + -6(5 + (21 + 9x)) = 0 Combine like terms: 5 + 21 = 26 6x + -6(26 + 9x) = 0 6x + (26 * -6 + 9x * -6) = 0 6x + (-156 + -54x) = 0 Reorder the terms: -156 + 6x + -54x = 0 Combine like terms: 6x + -54x = -48x -156 + -48x = 0 Solving -156 + -48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '156' to each side of the equation. -156 + 156 + -48x = 0 + 156 Combine like terms: -156 + 156 = 0 0 + -48x = 0 + 156 -48x = 0 + 156 Combine like terms: 0 + 156 = 156 -48x = 156 Divide each side by '-48'. x = -3.25 Simplifying x = -3.25
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