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Simplifying -4(-4x + -6) = -1 + 7(7 + 2x) Reorder the terms: -4(-6 + -4x) = -1 + 7(7 + 2x) (-6 * -4 + -4x * -4) = -1 + 7(7 + 2x) (24 + 16x) = -1 + 7(7 + 2x) 24 + 16x = -1 + (7 * 7 + 2x * 7) 24 + 16x = -1 + (49 + 14x) Combine like terms: -1 + 49 = 48 24 + 16x = 48 + 14x Solving 24 + 16x = 48 + 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 + 16x + -14x = 48 + 14x + -14x Combine like terms: 16x + -14x = 2x 24 + 2x = 48 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + 2x = 48 + 0 24 + 2x = 48 Add '-24' to each side of the equation. 24 + -24 + 2x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 48 + -24 2x = 48 + -24 Combine like terms: 48 + -24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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