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Simplifying 5(2x + -4) = 2(3x + -8) Reorder the terms: 5(-4 + 2x) = 2(3x + -8) (-4 * 5 + 2x * 5) = 2(3x + -8) (-20 + 10x) = 2(3x + -8) Reorder the terms: -20 + 10x = 2(-8 + 3x) -20 + 10x = (-8 * 2 + 3x * 2) -20 + 10x = (-16 + 6x) Solving -20 + 10x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 10x + -6x = -16 + 6x + -6x Combine like terms: 10x + -6x = 4x -20 + 4x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 4x = -16 + 0 -20 + 4x = -16 Add '20' to each side of the equation. -20 + 20 + 4x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -16 + 20 4x = -16 + 20 Combine like terms: -16 + 20 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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