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Simplifying 7(2x + 2) + -9(-1 + 6x) = 0 Reorder the terms: 7(2 + 2x) + -9(-1 + 6x) = 0 (2 * 7 + 2x * 7) + -9(-1 + 6x) = 0 (14 + 14x) + -9(-1 + 6x) = 0 14 + 14x + (-1 * -9 + 6x * -9) = 0 14 + 14x + (9 + -54x) = 0 Reorder the terms: 14 + 9 + 14x + -54x = 0 Combine like terms: 14 + 9 = 23 23 + 14x + -54x = 0 Combine like terms: 14x + -54x = -40x 23 + -40x = 0 Solving 23 + -40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -40x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -40x = 0 + -23 -40x = 0 + -23 Combine like terms: 0 + -23 = -23 -40x = -23 Divide each side by '-40'. x = 0.575 Simplifying x = 0.575
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