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Simplifying 2(13 + -2x) = 12x + -7(x + 4) (13 * 2 + -2x * 2) = 12x + -7(x + 4) (26 + -4x) = 12x + -7(x + 4) Reorder the terms: 26 + -4x = 12x + -7(4 + x) 26 + -4x = 12x + (4 * -7 + x * -7) 26 + -4x = 12x + (-28 + -7x) Reorder the terms: 26 + -4x = -28 + 12x + -7x Combine like terms: 12x + -7x = 5x 26 + -4x = -28 + 5x Solving 26 + -4x = -28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 26 + -4x + -5x = -28 + 5x + -5x Combine like terms: -4x + -5x = -9x 26 + -9x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -9x = -28 + 0 26 + -9x = -28 Add '-26' to each side of the equation. 26 + -26 + -9x = -28 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = -28 + -26 -9x = -28 + -26 Combine like terms: -28 + -26 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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