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Simplifying 5(6x + -8) + -5 = 11 + 2x Reorder the terms: 5(-8 + 6x) + -5 = 11 + 2x (-8 * 5 + 6x * 5) + -5 = 11 + 2x (-40 + 30x) + -5 = 11 + 2x Reorder the terms: -40 + -5 + 30x = 11 + 2x Combine like terms: -40 + -5 = -45 -45 + 30x = 11 + 2x Solving -45 + 30x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + 30x + -2x = 11 + 2x + -2x Combine like terms: 30x + -2x = 28x -45 + 28x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 28x = 11 + 0 -45 + 28x = 11 Add '45' to each side of the equation. -45 + 45 + 28x = 11 + 45 Combine like terms: -45 + 45 = 0 0 + 28x = 11 + 45 28x = 11 + 45 Combine like terms: 11 + 45 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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