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Simplifying 8(x + 2) = 20(2x + -4) Reorder the terms: 8(2 + x) = 20(2x + -4) (2 * 8 + x * 8) = 20(2x + -4) (16 + 8x) = 20(2x + -4) Reorder the terms: 16 + 8x = 20(-4 + 2x) 16 + 8x = (-4 * 20 + 2x * 20) 16 + 8x = (-80 + 40x) Solving 16 + 8x = -80 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 16 + 8x + -40x = -80 + 40x + -40x Combine like terms: 8x + -40x = -32x 16 + -32x = -80 + 40x + -40x Combine like terms: 40x + -40x = 0 16 + -32x = -80 + 0 16 + -32x = -80 Add '-16' to each side of the equation. 16 + -16 + -32x = -80 + -16 Combine like terms: 16 + -16 = 0 0 + -32x = -80 + -16 -32x = -80 + -16 Combine like terms: -80 + -16 = -96 -32x = -96 Divide each side by '-32'. x = 3 Simplifying x = 3
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