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Simplifying -2(7x + -2) = 9(2x + -2) + 5 Reorder the terms: -2(-2 + 7x) = 9(2x + -2) + 5 (-2 * -2 + 7x * -2) = 9(2x + -2) + 5 (4 + -14x) = 9(2x + -2) + 5 Reorder the terms: 4 + -14x = 9(-2 + 2x) + 5 4 + -14x = (-2 * 9 + 2x * 9) + 5 4 + -14x = (-18 + 18x) + 5 Reorder the terms: 4 + -14x = -18 + 5 + 18x Combine like terms: -18 + 5 = -13 4 + -14x = -13 + 18x Solving 4 + -14x = -13 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + -14x + -18x = -13 + 18x + -18x Combine like terms: -14x + -18x = -32x 4 + -32x = -13 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + -32x = -13 + 0 4 + -32x = -13 Add '-4' to each side of the equation. 4 + -4 + -32x = -13 + -4 Combine like terms: 4 + -4 = 0 0 + -32x = -13 + -4 -32x = -13 + -4 Combine like terms: -13 + -4 = -17 -32x = -17 Divide each side by '-32'. x = 0.53125 Simplifying x = 0.53125
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