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Simplifying x + -1(12 + -4x) = -2(5 + -3x) + 4 x + (12 * -1 + -4x * -1) = -2(5 + -3x) + 4 x + (-12 + 4x) = -2(5 + -3x) + 4 Reorder the terms: -12 + x + 4x = -2(5 + -3x) + 4 Combine like terms: x + 4x = 5x -12 + 5x = -2(5 + -3x) + 4 -12 + 5x = (5 * -2 + -3x * -2) + 4 -12 + 5x = (-10 + 6x) + 4 Reorder the terms: -12 + 5x = -10 + 4 + 6x Combine like terms: -10 + 4 = -6 -12 + 5x = -6 + 6x Solving -12 + 5x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -12 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1x = -6 + 0 -12 + -1x = -6 Add '12' to each side of the equation. -12 + 12 + -1x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -6 + 12 -1x = -6 + 12 Combine like terms: -6 + 12 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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