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Simplifying 4 + 2x + -1(x + 5) = -2(x + -6) + 7x + -12 Reorder the terms: 4 + 2x + -1(5 + x) = -2(x + -6) + 7x + -12 4 + 2x + (5 * -1 + x * -1) = -2(x + -6) + 7x + -12 4 + 2x + (-5 + -1x) = -2(x + -6) + 7x + -12 Reorder the terms: 4 + -5 + 2x + -1x = -2(x + -6) + 7x + -12 Combine like terms: 4 + -5 = -1 -1 + 2x + -1x = -2(x + -6) + 7x + -12 Combine like terms: 2x + -1x = 1x -1 + 1x = -2(x + -6) + 7x + -12 Reorder the terms: -1 + 1x = -2(-6 + x) + 7x + -12 -1 + 1x = (-6 * -2 + x * -2) + 7x + -12 -1 + 1x = (12 + -2x) + 7x + -12 Reorder the terms: -1 + 1x = 12 + -12 + -2x + 7x Combine like terms: 12 + -12 = 0 -1 + 1x = 0 + -2x + 7x -1 + 1x = -2x + 7x Combine like terms: -2x + 7x = 5x -1 + 1x = 5x Solving -1 + 1x = 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. -1 + 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x -1 + -4x = 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x = 0 Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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