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Simplifying 54 = -3(1 + -3x) + -6(1 + 3x) 54 = (1 * -3 + -3x * -3) + -6(1 + 3x) 54 = (-3 + 9x) + -6(1 + 3x) 54 = -3 + 9x + (1 * -6 + 3x * -6) 54 = -3 + 9x + (-6 + -18x) Reorder the terms: 54 = -3 + -6 + 9x + -18x Combine like terms: -3 + -6 = -9 54 = -9 + 9x + -18x Combine like terms: 9x + -18x = -9x 54 = -9 + -9x Solving 54 = -9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 54 + 9x = -9 + -9x + 9x Combine like terms: -9x + 9x = 0 54 + 9x = -9 + 0 54 + 9x = -9 Add '-54' to each side of the equation. 54 + -54 + 9x = -9 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = -9 + -54 9x = -9 + -54 Combine like terms: -9 + -54 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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