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Simplifying 7x + -15 = -2[6(x + -3) + -4(2 + -1x)] Reorder the terms: -15 + 7x = -2[6(x + -3) + -4(2 + -1x)] Reorder the terms: -15 + 7x = -2[6(-3 + x) + -4(2 + -1x)] -15 + 7x = -2[(-3 * 6 + x * 6) + -4(2 + -1x)] -15 + 7x = -2[(-18 + 6x) + -4(2 + -1x)] -15 + 7x = -2[-18 + 6x + (2 * -4 + -1x * -4)] -15 + 7x = -2[-18 + 6x + (-8 + 4x)] Reorder the terms: -15 + 7x = -2[-18 + -8 + 6x + 4x] Combine like terms: -18 + -8 = -26 -15 + 7x = -2[-26 + 6x + 4x] Combine like terms: 6x + 4x = 10x -15 + 7x = -2[-26 + 10x] -15 + 7x = [-26 * -2 + 10x * -2] -15 + 7x = [52 + -20x] Solving -15 + 7x = 52 + -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. -15 + 7x + 20x = 52 + -20x + 20x Combine like terms: 7x + 20x = 27x -15 + 27x = 52 + -20x + 20x Combine like terms: -20x + 20x = 0 -15 + 27x = 52 + 0 -15 + 27x = 52 Add '15' to each side of the equation. -15 + 15 + 27x = 52 + 15 Combine like terms: -15 + 15 = 0 0 + 27x = 52 + 15 27x = 52 + 15 Combine like terms: 52 + 15 = 67 27x = 67 Divide each side by '27'. x = 2.481481481 Simplifying x = 2.481481481
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