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Simplifying -7 + -3(x + 1) = -5x + -12 Reorder the terms: -7 + -3(1 + x) = -5x + -12 -7 + (1 * -3 + x * -3) = -5x + -12 -7 + (-3 + -3x) = -5x + -12 Combine like terms: -7 + -3 = -10 -10 + -3x = -5x + -12 Reorder the terms: -10 + -3x = -12 + -5x Solving -10 + -3x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -3x + 5x = -12 + -5x + 5x Combine like terms: -3x + 5x = 2x -10 + 2x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 2x = -12 + 0 -10 + 2x = -12 Add '10' to each side of the equation. -10 + 10 + 2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -12 + 10 2x = -12 + 10 Combine like terms: -12 + 10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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