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Simplifying 5(2x + -8) = 2(3x + 6) Reorder the terms: 5(-8 + 2x) = 2(3x + 6) (-8 * 5 + 2x * 5) = 2(3x + 6) (-40 + 10x) = 2(3x + 6) Reorder the terms: -40 + 10x = 2(6 + 3x) -40 + 10x = (6 * 2 + 3x * 2) -40 + 10x = (12 + 6x) Solving -40 + 10x = 12 + 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. -40 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x -40 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 4x = 12 + 0 -40 + 4x = 12 Add '40' to each side of the equation. -40 + 40 + 4x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 12 + 40 4x = 12 + 40 Combine like terms: 12 + 40 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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