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Simplifying 5(2x + -8) + -7x + -2 = 15 Reorder the terms: 5(-8 + 2x) + -7x + -2 = 15 (-8 * 5 + 2x * 5) + -7x + -2 = 15 (-40 + 10x) + -7x + -2 = 15 Reorder the terms: -40 + -2 + 10x + -7x = 15 Combine like terms: -40 + -2 = -42 -42 + 10x + -7x = 15 Combine like terms: 10x + -7x = 3x -42 + 3x = 15 Solving -42 + 3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 3x = 15 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 15 + 42 3x = 15 + 42 Combine like terms: 15 + 42 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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