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Simplifying 1(4x + -8) + 2(x + -4) = 8x Reorder the terms: 1(-8 + 4x) + 2(x + -4) = 8x (-8 * 1 + 4x * 1) + 2(x + -4) = 8x (-8 + 4x) + 2(x + -4) = 8x Reorder the terms: -8 + 4x + 2(-4 + x) = 8x -8 + 4x + (-4 * 2 + x * 2) = 8x -8 + 4x + (-8 + 2x) = 8x Reorder the terms: -8 + -8 + 4x + 2x = 8x Combine like terms: -8 + -8 = -16 -16 + 4x + 2x = 8x Combine like terms: 4x + 2x = 6x -16 + 6x = 8x Solving -16 + 6x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 6x + -8x = 8x + -8x Combine like terms: 6x + -8x = -2x -16 + -2x = 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -2x = 0 Add '16' to each side of the equation. -16 + 16 + -2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 0 + 16 -2x = 0 + 16 Combine like terms: 0 + 16 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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