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Simplifying 9 + -3(6x + 1) = 3x + -3(3x + 6) Reorder the terms: 9 + -3(1 + 6x) = 3x + -3(3x + 6) 9 + (1 * -3 + 6x * -3) = 3x + -3(3x + 6) 9 + (-3 + -18x) = 3x + -3(3x + 6) Combine like terms: 9 + -3 = 6 6 + -18x = 3x + -3(3x + 6) Reorder the terms: 6 + -18x = 3x + -3(6 + 3x) 6 + -18x = 3x + (6 * -3 + 3x * -3) 6 + -18x = 3x + (-18 + -9x) Reorder the terms: 6 + -18x = -18 + 3x + -9x Combine like terms: 3x + -9x = -6x 6 + -18x = -18 + -6x Solving 6 + -18x = -18 + -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. 6 + -18x + 6x = -18 + -6x + 6x Combine like terms: -18x + 6x = -12x 6 + -12x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + -12x = -18 + 0 6 + -12x = -18 Add '-6' to each side of the equation. 6 + -6 + -12x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -18 + -6 -12x = -18 + -6 Combine like terms: -18 + -6 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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