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Simplifying -4(2x + -6) = 7[x + -1(3x + -1)] Reorder the terms: -4(-6 + 2x) = 7[x + -1(3x + -1)] (-6 * -4 + 2x * -4) = 7[x + -1(3x + -1)] (24 + -8x) = 7[x + -1(3x + -1)] Reorder the terms: 24 + -8x = 7[x + -1(-1 + 3x)] 24 + -8x = 7[x + (-1 * -1 + 3x * -1)] 24 + -8x = 7[x + (1 + -3x)] Reorder the terms: 24 + -8x = 7[1 + x + -3x] Combine like terms: x + -3x = -2x 24 + -8x = 7[1 + -2x] 24 + -8x = [1 * 7 + -2x * 7] 24 + -8x = [7 + -14x] Solving 24 + -8x = 7 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 24 + -8x + 14x = 7 + -14x + 14x Combine like terms: -8x + 14x = 6x 24 + 6x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + 6x = 7 + 0 24 + 6x = 7 Add '-24' to each side of the equation. 24 + -24 + 6x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 7 + -24 6x = 7 + -24 Combine like terms: 7 + -24 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333
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