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Simplifying 3x + 26 = -8(x + -6) Reorder the terms: 26 + 3x = -8(x + -6) Reorder the terms: 26 + 3x = -8(-6 + x) 26 + 3x = (-6 * -8 + x * -8) 26 + 3x = (48 + -8x) Solving 26 + 3x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 26 + 3x + 8x = 48 + -8x + 8x Combine like terms: 3x + 8x = 11x 26 + 11x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 26 + 11x = 48 + 0 26 + 11x = 48 Add '-26' to each side of the equation. 26 + -26 + 11x = 48 + -26 Combine like terms: 26 + -26 = 0 0 + 11x = 48 + -26 11x = 48 + -26 Combine like terms: 48 + -26 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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