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Simplifying -2(8x + 7) = 47 + 2(x + 4) Reorder the terms: -2(7 + 8x) = 47 + 2(x + 4) (7 * -2 + 8x * -2) = 47 + 2(x + 4) (-14 + -16x) = 47 + 2(x + 4) Reorder the terms: -14 + -16x = 47 + 2(4 + x) -14 + -16x = 47 + (4 * 2 + x * 2) -14 + -16x = 47 + (8 + 2x) Combine like terms: 47 + 8 = 55 -14 + -16x = 55 + 2x Solving -14 + -16x = 55 + 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. -14 + -16x + -2x = 55 + 2x + -2x Combine like terms: -16x + -2x = -18x -14 + -18x = 55 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -18x = 55 + 0 -14 + -18x = 55 Add '14' to each side of the equation. -14 + 14 + -18x = 55 + 14 Combine like terms: -14 + 14 = 0 0 + -18x = 55 + 14 -18x = 55 + 14 Combine like terms: 55 + 14 = 69 -18x = 69 Divide each side by '-18'. x = -3.833333333 Simplifying x = -3.833333333
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