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Simplifying 8(x + -4) + 2 = -2(x + 5) Reorder the terms: 8(-4 + x) + 2 = -2(x + 5) (-4 * 8 + x * 8) + 2 = -2(x + 5) (-32 + 8x) + 2 = -2(x + 5) Reorder the terms: -32 + 2 + 8x = -2(x + 5) Combine like terms: -32 + 2 = -30 -30 + 8x = -2(x + 5) Reorder the terms: -30 + 8x = -2(5 + x) -30 + 8x = (5 * -2 + x * -2) -30 + 8x = (-10 + -2x) Solving -30 + 8x = -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 + 8x + 2x = -10 + -2x + 2x Combine like terms: 8x + 2x = 10x -30 + 10x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 10x = -10 + 0 -30 + 10x = -10 Add '30' to each side of the equation. -30 + 30 + 10x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = -10 + 30 10x = -10 + 30 Combine like terms: -10 + 30 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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