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Simplifying 26 + -8x = 3[2 + -4(x + -7)] Reorder the terms: 26 + -8x = 3[2 + -4(-7 + x)] 26 + -8x = 3[2 + (-7 * -4 + x * -4)] 26 + -8x = 3[2 + (28 + -4x)] Combine like terms: 2 + 28 = 30 26 + -8x = 3[30 + -4x] 26 + -8x = [30 * 3 + -4x * 3] 26 + -8x = [90 + -12x] Solving 26 + -8x = 90 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 26 + -8x + 12x = 90 + -12x + 12x Combine like terms: -8x + 12x = 4x 26 + 4x = 90 + -12x + 12x Combine like terms: -12x + 12x = 0 26 + 4x = 90 + 0 26 + 4x = 90 Add '-26' to each side of the equation. 26 + -26 + 4x = 90 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 90 + -26 4x = 90 + -26 Combine like terms: 90 + -26 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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