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Simplifying -1(4x + -2) + -1x + 11 = -12 Reorder the terms: -1(-2 + 4x) + -1x + 11 = -12 (-2 * -1 + 4x * -1) + -1x + 11 = -12 (2 + -4x) + -1x + 11 = -12 Reorder the terms: 2 + 11 + -4x + -1x = -12 Combine like terms: 2 + 11 = 13 13 + -4x + -1x = -12 Combine like terms: -4x + -1x = -5x 13 + -5x = -12 Solving 13 + -5x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -12 + -13 -5x = -12 + -13 Combine like terms: -12 + -13 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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