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