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Simplifying -4x + -1[3x + -2(x + 6)] + -7 = 0 Reorder the terms: -4x + -1[3x + -2(6 + x)] + -7 = 0 -4x + -1[3x + (6 * -2 + x * -2)] + -7 = 0 -4x + -1[3x + (-12 + -2x)] + -7 = 0 Reorder the terms: -4x + -1[-12 + 3x + -2x] + -7 = 0 Combine like terms: 3x + -2x = 1x -4x + -1[-12 + 1x] + -7 = 0 -4x + [-12 * -1 + 1x * -1] + -7 = 0 -4x + [12 + -1x] + -7 = 0 Reorder the terms: 12 + -7 + -4x + -1x = 0 Combine like terms: 12 + -7 = 5 5 + -4x + -1x = 0 Combine like terms: -4x + -1x = -5x 5 + -5x = 0 Solving 5 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 0 + -5 -5x = 0 + -5 Combine like terms: 0 + -5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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