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Simplifying -4[3x + -1] = 10 + -4x Reorder the terms: -4[-1 + 3x] = 10 + -4x [-1 * -4 + 3x * -4] = 10 + -4x [4 + -12x] = 10 + -4x Solving 4 + -12x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + -12x + 4x = 10 + -4x + 4x Combine like terms: -12x + 4x = -8x 4 + -8x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + -8x = 10 + 0 4 + -8x = 10 Add '-4' to each side of the equation. 4 + -4 + -8x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 10 + -4 -8x = 10 + -4 Combine like terms: 10 + -4 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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