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Simplifying -1x + 12 + -3x = -5(x + -2) + 1 Reorder the terms: 12 + -1x + -3x = -5(x + -2) + 1 Combine like terms: -1x + -3x = -4x 12 + -4x = -5(x + -2) + 1 Reorder the terms: 12 + -4x = -5(-2 + x) + 1 12 + -4x = (-2 * -5 + x * -5) + 1 12 + -4x = (10 + -5x) + 1 Reorder the terms: 12 + -4x = 10 + 1 + -5x Combine like terms: 10 + 1 = 11 12 + -4x = 11 + -5x Solving 12 + -4x = 11 + -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. 12 + -4x + 5x = 11 + -5x + 5x Combine like terms: -4x + 5x = 1x 12 + 1x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 1x = 11 + 0 12 + 1x = 11 Add '-12' to each side of the equation. 12 + -12 + 1x = 11 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 11 + -12 1x = 11 + -12 Combine like terms: 11 + -12 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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