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Simplifying 5(2x + -8) = 2(7x + -2) Reorder the terms: 5(-8 + 2x) = 2(7x + -2) (-8 * 5 + 2x * 5) = 2(7x + -2) (-40 + 10x) = 2(7x + -2) Reorder the terms: -40 + 10x = 2(-2 + 7x) -40 + 10x = (-2 * 2 + 7x * 2) -40 + 10x = (-4 + 14x) Solving -40 + 10x = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -40 + 10x + -14x = -4 + 14x + -14x Combine like terms: 10x + -14x = -4x -40 + -4x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 -40 + -4x = -4 + 0 -40 + -4x = -4 Add '40' to each side of the equation. -40 + 40 + -4x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -4x = -4 + 40 -4x = -4 + 40 Combine like terms: -4 + 40 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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