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Simplifying 3(2x + -1) = 5[3x + -1(2 + -1x)] Reorder the terms: 3(-1 + 2x) = 5[3x + -1(2 + -1x)] (-1 * 3 + 2x * 3) = 5[3x + -1(2 + -1x)] (-3 + 6x) = 5[3x + -1(2 + -1x)] -3 + 6x = 5[3x + (2 * -1 + -1x * -1)] -3 + 6x = 5[3x + (-2 + 1x)] Reorder the terms: -3 + 6x = 5[-2 + 3x + 1x] Combine like terms: 3x + 1x = 4x -3 + 6x = 5[-2 + 4x] -3 + 6x = [-2 * 5 + 4x * 5] -3 + 6x = [-10 + 20x] Solving -3 + 6x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 6x + -20x = -10 + 20x + -20x Combine like terms: 6x + -20x = -14x -3 + -14x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + -14x = -10 + 0 -3 + -14x = -10 Add '3' to each side of the equation. -3 + 3 + -14x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = -10 + 3 -14x = -10 + 3 Combine like terms: -10 + 3 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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