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Simplifying 7(x + -8) + 26 = 2(x + -5) Reorder the terms: 7(-8 + x) + 26 = 2(x + -5) (-8 * 7 + x * 7) + 26 = 2(x + -5) (-56 + 7x) + 26 = 2(x + -5) Reorder the terms: -56 + 26 + 7x = 2(x + -5) Combine like terms: -56 + 26 = -30 -30 + 7x = 2(x + -5) Reorder the terms: -30 + 7x = 2(-5 + x) -30 + 7x = (-5 * 2 + x * 2) -30 + 7x = (-10 + 2x) Solving -30 + 7x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x -30 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 5x = -10 + 0 -30 + 5x = -10 Add '30' to each side of the equation. -30 + 30 + 5x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -10 + 30 5x = -10 + 30 Combine like terms: -10 + 30 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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