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Simplifying 7(x + -2) = 20 + -1(x + 8) Reorder the terms: 7(-2 + x) = 20 + -1(x + 8) (-2 * 7 + x * 7) = 20 + -1(x + 8) (-14 + 7x) = 20 + -1(x + 8) Reorder the terms: -14 + 7x = 20 + -1(8 + x) -14 + 7x = 20 + (8 * -1 + x * -1) -14 + 7x = 20 + (-8 + -1x) Combine like terms: 20 + -8 = 12 -14 + 7x = 12 + -1x Solving -14 + 7x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -14 + 7x + x = 12 + -1x + x Combine like terms: 7x + x = 8x -14 + 8x = 12 + -1x + x Combine like terms: -1x + x = 0 -14 + 8x = 12 + 0 -14 + 8x = 12 Add '14' to each side of the equation. -14 + 14 + 8x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 12 + 14 8x = 12 + 14 Combine like terms: 12 + 14 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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