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Simplifying 3x + 26 = -7(x + -8) Reorder the terms: 26 + 3x = -7(x + -8) Reorder the terms: 26 + 3x = -7(-8 + x) 26 + 3x = (-8 * -7 + x * -7) 26 + 3x = (56 + -7x) Solving 26 + 3x = 56 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 26 + 3x + 7x = 56 + -7x + 7x Combine like terms: 3x + 7x = 10x 26 + 10x = 56 + -7x + 7x Combine like terms: -7x + 7x = 0 26 + 10x = 56 + 0 26 + 10x = 56 Add '-26' to each side of the equation. 26 + -26 + 10x = 56 + -26 Combine like terms: 26 + -26 = 0 0 + 10x = 56 + -26 10x = 56 + -26 Combine like terms: 56 + -26 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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