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Simplifying 9(x + 1) + (-18) = -9(x + 6) + 18 Reorder the terms: 9(1 + x) + (-18) = -9(x + 6) + 18 (1 * 9 + x * 9) + (-18) = -9(x + 6) + 18 (9 + 9x) + (-18) = -9(x + 6) + 18 9 + 9x + -18 = -9(x + 6) + 18 Reorder the terms: 9 + -18 + 9x = -9(x + 6) + 18 Combine like terms: 9 + -18 = -9 -9 + 9x = -9(x + 6) + 18 Reorder the terms: -9 + 9x = -9(6 + x) + 18 -9 + 9x = (6 * -9 + x * -9) + 18 -9 + 9x = (-54 + -9x) + 18 Reorder the terms: -9 + 9x = -54 + 18 + -9x Combine like terms: -54 + 18 = -36 -9 + 9x = -36 + -9x Solving -9 + 9x = -36 + -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. -9 + 9x + 9x = -36 + -9x + 9x Combine like terms: 9x + 9x = 18x -9 + 18x = -36 + -9x + 9x Combine like terms: -9x + 9x = 0 -9 + 18x = -36 + 0 -9 + 18x = -36 Add '9' to each side of the equation. -9 + 9 + 18x = -36 + 9 Combine like terms: -9 + 9 = 0 0 + 18x = -36 + 9 18x = -36 + 9 Combine like terms: -36 + 9 = -27 18x = -27 Divide each side by '18'. x = -1.5 Simplifying x = -1.5
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