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Simplifying -1(x + 7) + -3(1 + x) = -12x + 7x Reorder the terms: -1(7 + x) + -3(1 + x) = -12x + 7x (7 * -1 + x * -1) + -3(1 + x) = -12x + 7x (-7 + -1x) + -3(1 + x) = -12x + 7x -7 + -1x + (1 * -3 + x * -3) = -12x + 7x -7 + -1x + (-3 + -3x) = -12x + 7x Reorder the terms: -7 + -3 + -1x + -3x = -12x + 7x Combine like terms: -7 + -3 = -10 -10 + -1x + -3x = -12x + 7x Combine like terms: -1x + -3x = -4x -10 + -4x = -12x + 7x Combine like terms: -12x + 7x = -5x -10 + -4x = -5x Solving -10 + -4x = -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 + -4x + 5x = -5x + 5x Combine like terms: -4x + 5x = 1x -10 + 1x = -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 1x = 0 Add '10' to each side of the equation. -10 + 10 + 1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 0 + 10 1x = 0 + 10 Combine like terms: 0 + 10 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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