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Simplifying 3[9 + -1(-3x + -6)] = 18x + 63 Reorder the terms: 3[9 + -1(-6 + -3x)] = 18x + 63 3[9 + (-6 * -1 + -3x * -1)] = 18x + 63 3[9 + (6 + 3x)] = 18x + 63 Combine like terms: 9 + 6 = 15 3[15 + 3x] = 18x + 63 [15 * 3 + 3x * 3] = 18x + 63 [45 + 9x] = 18x + 63 Reorder the terms: 45 + 9x = 63 + 18x Solving 45 + 9x = 63 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 45 + 9x + -18x = 63 + 18x + -18x Combine like terms: 9x + -18x = -9x 45 + -9x = 63 + 18x + -18x Combine like terms: 18x + -18x = 0 45 + -9x = 63 + 0 45 + -9x = 63 Add '-45' to each side of the equation. 45 + -45 + -9x = 63 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 63 + -45 -9x = 63 + -45 Combine like terms: 63 + -45 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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