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Simplifying 6(3 + -2x) = 26 + -4(4x + 7) (3 * 6 + -2x * 6) = 26 + -4(4x + 7) (18 + -12x) = 26 + -4(4x + 7) Reorder the terms: 18 + -12x = 26 + -4(7 + 4x) 18 + -12x = 26 + (7 * -4 + 4x * -4) 18 + -12x = 26 + (-28 + -16x) Combine like terms: 26 + -28 = -2 18 + -12x = -2 + -16x Solving 18 + -12x = -2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 18 + -12x + 16x = -2 + -16x + 16x Combine like terms: -12x + 16x = 4x 18 + 4x = -2 + -16x + 16x Combine like terms: -16x + 16x = 0 18 + 4x = -2 + 0 18 + 4x = -2 Add '-18' to each side of the equation. 18 + -18 + 4x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = -2 + -18 4x = -2 + -18 Combine like terms: -2 + -18 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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