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Simplifying 2x + 8(x + -4) = 2(x + -8) Reorder the terms: 2x + 8(-4 + x) = 2(x + -8) 2x + (-4 * 8 + x * 8) = 2(x + -8) 2x + (-32 + 8x) = 2(x + -8) Reorder the terms: -32 + 2x + 8x = 2(x + -8) Combine like terms: 2x + 8x = 10x -32 + 10x = 2(x + -8) Reorder the terms: -32 + 10x = 2(-8 + x) -32 + 10x = (-8 * 2 + x * 2) -32 + 10x = (-16 + 2x) Solving -32 + 10x = -16 + 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. -32 + 10x + -2x = -16 + 2x + -2x Combine like terms: 10x + -2x = 8x -32 + 8x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 8x = -16 + 0 -32 + 8x = -16 Add '32' to each side of the equation. -32 + 32 + 8x = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -16 + 32 8x = -16 + 32 Combine like terms: -16 + 32 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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