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Simplifying 7(x + -8) + 21 = 2(x + -5) Reorder the terms: 7(-8 + x) + 21 = 2(x + -5) (-8 * 7 + x * 7) + 21 = 2(x + -5) (-56 + 7x) + 21 = 2(x + -5) Reorder the terms: -56 + 21 + 7x = 2(x + -5) Combine like terms: -56 + 21 = -35 -35 + 7x = 2(x + -5) Reorder the terms: -35 + 7x = 2(-5 + x) -35 + 7x = (-5 * 2 + x * 2) -35 + 7x = (-10 + 2x) Solving -35 + 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. -35 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x -35 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 5x = -10 + 0 -35 + 5x = -10 Add '35' to each side of the equation. -35 + 35 + 5x = -10 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = -10 + 35 5x = -10 + 35 Combine like terms: -10 + 35 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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