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Simplifying 7(x + -4) + 8 = 2(x + -5) Reorder the terms: 7(-4 + x) + 8 = 2(x + -5) (-4 * 7 + x * 7) + 8 = 2(x + -5) (-28 + 7x) + 8 = 2(x + -5) Reorder the terms: -28 + 8 + 7x = 2(x + -5) Combine like terms: -28 + 8 = -20 -20 + 7x = 2(x + -5) Reorder the terms: -20 + 7x = 2(-5 + x) -20 + 7x = (-5 * 2 + x * 2) -20 + 7x = (-10 + 2x) Solving -20 + 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. -20 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x -20 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 5x = -10 + 0 -20 + 5x = -10 Add '20' to each side of the equation. -20 + 20 + 5x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -10 + 20 5x = -10 + 20 Combine like terms: -10 + 20 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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