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Simplifying 9(x + 1) = -3 + -1(x + 33) Reorder the terms: 9(1 + x) = -3 + -1(x + 33) (1 * 9 + x * 9) = -3 + -1(x + 33) (9 + 9x) = -3 + -1(x + 33) Reorder the terms: 9 + 9x = -3 + -1(33 + x) 9 + 9x = -3 + (33 * -1 + x * -1) 9 + 9x = -3 + (-33 + -1x) Combine like terms: -3 + -33 = -36 9 + 9x = -36 + -1x Solving 9 + 9x = -36 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 9x + x = -36 + -1x + x Combine like terms: 9x + x = 10x 9 + 10x = -36 + -1x + x Combine like terms: -1x + x = 0 9 + 10x = -36 + 0 9 + 10x = -36 Add '-9' to each side of the equation. 9 + -9 + 10x = -36 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = -36 + -9 10x = -36 + -9 Combine like terms: -36 + -9 = -45 10x = -45 Divide each side by '10'. x = -4.5 Simplifying x = -4.5
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