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Simplifying 3(x + 1) + -5(x + 7) = -44 Reorder the terms: 3(1 + x) + -5(x + 7) = -44 (1 * 3 + x * 3) + -5(x + 7) = -44 (3 + 3x) + -5(x + 7) = -44 Reorder the terms: 3 + 3x + -5(7 + x) = -44 3 + 3x + (7 * -5 + x * -5) = -44 3 + 3x + (-35 + -5x) = -44 Reorder the terms: 3 + -35 + 3x + -5x = -44 Combine like terms: 3 + -35 = -32 -32 + 3x + -5x = -44 Combine like terms: 3x + -5x = -2x -32 + -2x = -44 Solving -32 + -2x = -44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -2x = -44 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -44 + 32 -2x = -44 + 32 Combine like terms: -44 + 32 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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