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Simplifying 4x + -2[2 + -3(3 + -5x)] = 1 4x + -2[2 + (3 * -3 + -5x * -3)] = 1 4x + -2[2 + (-9 + 15x)] = 1 Combine like terms: 2 + -9 = -7 4x + -2[-7 + 15x] = 1 4x + [-7 * -2 + 15x * -2] = 1 4x + [14 + -30x] = 1 Reorder the terms: 14 + 4x + -30x = 1 Combine like terms: 4x + -30x = -26x 14 + -26x = 1 Solving 14 + -26x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -26x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -26x = 1 + -14 -26x = 1 + -14 Combine like terms: 1 + -14 = -13 -26x = -13 Divide each side by '-26'. x = 0.5 Simplifying x = 0.5
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