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Simplifying 5(3x + -8) + 5 = -5(7 + 11x) Reorder the terms: 5(-8 + 3x) + 5 = -5(7 + 11x) (-8 * 5 + 3x * 5) + 5 = -5(7 + 11x) (-40 + 15x) + 5 = -5(7 + 11x) Reorder the terms: -40 + 5 + 15x = -5(7 + 11x) Combine like terms: -40 + 5 = -35 -35 + 15x = -5(7 + 11x) -35 + 15x = (7 * -5 + 11x * -5) -35 + 15x = (-35 + -55x) Add '35' to each side of the equation. -35 + 35 + 15x = -35 + 35 + -55x Combine like terms: -35 + 35 = 0 0 + 15x = -35 + 35 + -55x 15x = -35 + 35 + -55x Combine like terms: -35 + 35 = 0 15x = 0 + -55x 15x = -55x Solving 15x = -55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55x' to each side of the equation. 15x + 55x = -55x + 55x Combine like terms: 15x + 55x = 70x 70x = -55x + 55x Combine like terms: -55x + 55x = 0 70x = 0 Divide each side by '70'. x = 0.0 Simplifying x = 0.0
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