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Simplifying 9(x + 1) + -1(x + -3) = 44 Reorder the terms: 9(1 + x) + -1(x + -3) = 44 (1 * 9 + x * 9) + -1(x + -3) = 44 (9 + 9x) + -1(x + -3) = 44 Reorder the terms: 9 + 9x + -1(-3 + x) = 44 9 + 9x + (-3 * -1 + x * -1) = 44 9 + 9x + (3 + -1x) = 44 Reorder the terms: 9 + 3 + 9x + -1x = 44 Combine like terms: 9 + 3 = 12 12 + 9x + -1x = 44 Combine like terms: 9x + -1x = 8x 12 + 8x = 44 Solving 12 + 8x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 44 + -12 8x = 44 + -12 Combine like terms: 44 + -12 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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