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Simplifying 2x + 4(x + -8) = 8 + 2(6x + 10) Reorder the terms: 2x + 4(-8 + x) = 8 + 2(6x + 10) 2x + (-8 * 4 + x * 4) = 8 + 2(6x + 10) 2x + (-32 + 4x) = 8 + 2(6x + 10) Reorder the terms: -32 + 2x + 4x = 8 + 2(6x + 10) Combine like terms: 2x + 4x = 6x -32 + 6x = 8 + 2(6x + 10) Reorder the terms: -32 + 6x = 8 + 2(10 + 6x) -32 + 6x = 8 + (10 * 2 + 6x * 2) -32 + 6x = 8 + (20 + 12x) Combine like terms: 8 + 20 = 28 -32 + 6x = 28 + 12x Solving -32 + 6x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 6x + -12x = 28 + 12x + -12x Combine like terms: 6x + -12x = -6x -32 + -6x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -6x = 28 + 0 -32 + -6x = 28 Add '32' to each side of the equation. -32 + 32 + -6x = 28 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = 28 + 32 -6x = 28 + 32 Combine like terms: 28 + 32 = 60 -6x = 60 Divide each side by '-6'. x = -10 Simplifying x = -10
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