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Simplifying 5(2(4x + -11)) = 2(5(3x + -8)) Reorder the terms: 5(2(-11 + 4x)) = 2(5(3x + -8)) 5((-11 * 2 + 4x * 2)) = 2(5(3x + -8)) 5((-22 + 8x)) = 2(5(3x + -8)) (-22 * 5 + 8x * 5) = 2(5(3x + -8)) (-110 + 40x) = 2(5(3x + -8)) Reorder the terms: -110 + 40x = 2(5(-8 + 3x)) -110 + 40x = 2((-8 * 5 + 3x * 5)) -110 + 40x = 2((-40 + 15x)) -110 + 40x = (-40 * 2 + 15x * 2) -110 + 40x = (-80 + 30x) Solving -110 + 40x = -80 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -110 + 40x + -30x = -80 + 30x + -30x Combine like terms: 40x + -30x = 10x -110 + 10x = -80 + 30x + -30x Combine like terms: 30x + -30x = 0 -110 + 10x = -80 + 0 -110 + 10x = -80 Add '110' to each side of the equation. -110 + 110 + 10x = -80 + 110 Combine like terms: -110 + 110 = 0 0 + 10x = -80 + 110 10x = -80 + 110 Combine like terms: -80 + 110 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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