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Simplifying -1(-6x + -2) = -4(6x + 7) Reorder the terms: -1(-2 + -6x) = -4(6x + 7) (-2 * -1 + -6x * -1) = -4(6x + 7) (2 + 6x) = -4(6x + 7) Reorder the terms: 2 + 6x = -4(7 + 6x) 2 + 6x = (7 * -4 + 6x * -4) 2 + 6x = (-28 + -24x) Solving 2 + 6x = -28 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 2 + 6x + 24x = -28 + -24x + 24x Combine like terms: 6x + 24x = 30x 2 + 30x = -28 + -24x + 24x Combine like terms: -24x + 24x = 0 2 + 30x = -28 + 0 2 + 30x = -28 Add '-2' to each side of the equation. 2 + -2 + 30x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + 30x = -28 + -2 30x = -28 + -2 Combine like terms: -28 + -2 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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