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Simplifying 2(6 + -6x + -3x) + 7(2x + 7) = 25 Combine like terms: -6x + -3x = -9x 2(6 + -9x) + 7(2x + 7) = 25 (6 * 2 + -9x * 2) + 7(2x + 7) = 25 (12 + -18x) + 7(2x + 7) = 25 Reorder the terms: 12 + -18x + 7(7 + 2x) = 25 12 + -18x + (7 * 7 + 2x * 7) = 25 12 + -18x + (49 + 14x) = 25 Reorder the terms: 12 + 49 + -18x + 14x = 25 Combine like terms: 12 + 49 = 61 61 + -18x + 14x = 25 Combine like terms: -18x + 14x = -4x 61 + -4x = 25 Solving 61 + -4x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -4x = 25 + -61 Combine like terms: 61 + -61 = 0 0 + -4x = 25 + -61 -4x = 25 + -61 Combine like terms: 25 + -61 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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