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Simplifying 8(2x + -4) = -6(-2x + -8) Reorder the terms: 8(-4 + 2x) = -6(-2x + -8) (-4 * 8 + 2x * 8) = -6(-2x + -8) (-32 + 16x) = -6(-2x + -8) Reorder the terms: -32 + 16x = -6(-8 + -2x) -32 + 16x = (-8 * -6 + -2x * -6) -32 + 16x = (48 + 12x) Solving -32 + 16x = 48 + 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 + 16x + -12x = 48 + 12x + -12x Combine like terms: 16x + -12x = 4x -32 + 4x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + 4x = 48 + 0 -32 + 4x = 48 Add '32' to each side of the equation. -32 + 32 + 4x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 48 + 32 4x = 48 + 32 Combine like terms: 48 + 32 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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