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Simplifying 2(7x + -2) + 7(-8 + -1x) = -2x + 5 + 2x + 5 Reorder the terms: 2(-2 + 7x) + 7(-8 + -1x) = -2x + 5 + 2x + 5 (-2 * 2 + 7x * 2) + 7(-8 + -1x) = -2x + 5 + 2x + 5 (-4 + 14x) + 7(-8 + -1x) = -2x + 5 + 2x + 5 -4 + 14x + (-8 * 7 + -1x * 7) = -2x + 5 + 2x + 5 -4 + 14x + (-56 + -7x) = -2x + 5 + 2x + 5 Reorder the terms: -4 + -56 + 14x + -7x = -2x + 5 + 2x + 5 Combine like terms: -4 + -56 = -60 -60 + 14x + -7x = -2x + 5 + 2x + 5 Combine like terms: 14x + -7x = 7x -60 + 7x = -2x + 5 + 2x + 5 Reorder the terms: -60 + 7x = 5 + 5 + -2x + 2x Combine like terms: 5 + 5 = 10 -60 + 7x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -60 + 7x = 10 + 0 -60 + 7x = 10 Solving -60 + 7x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 7x = 10 + 60 Combine like terms: -60 + 60 = 0 0 + 7x = 10 + 60 7x = 10 + 60 Combine like terms: 10 + 60 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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