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Simplifying 8(2x + -7) = 2x Reorder the terms: 8(-7 + 2x) = 2x (-7 * 8 + 2x * 8) = 2x (-56 + 16x) = 2x Solving -56 + 16x = 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. -56 + 16x + -2x = 2x + -2x Combine like terms: 16x + -2x = 14x -56 + 14x = 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 14x = 0 Add '56' to each side of the equation. -56 + 56 + 14x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 14x = 0 + 56 14x = 0 + 56 Combine like terms: 0 + 56 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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