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Simplifying 2(2x + 4) = 2(4x + -5) Reorder the terms: 2(4 + 2x) = 2(4x + -5) (4 * 2 + 2x * 2) = 2(4x + -5) (8 + 4x) = 2(4x + -5) Reorder the terms: 8 + 4x = 2(-5 + 4x) 8 + 4x = (-5 * 2 + 4x * 2) 8 + 4x = (-10 + 8x) Solving 8 + 4x = -10 + 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. 8 + 4x + -8x = -10 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = -10 + 0 8 + -4x = -10 Add '-8' to each side of the equation. 8 + -8 + -4x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -10 + -8 -4x = -10 + -8 Combine like terms: -10 + -8 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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