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Simplifying -2[3(x + -5) + -2(3x + 2)] = 10 Reorder the terms: -2[3(-5 + x) + -2(3x + 2)] = 10 -2[(-5 * 3 + x * 3) + -2(3x + 2)] = 10 -2[(-15 + 3x) + -2(3x + 2)] = 10 Reorder the terms: -2[-15 + 3x + -2(2 + 3x)] = 10 -2[-15 + 3x + (2 * -2 + 3x * -2)] = 10 -2[-15 + 3x + (-4 + -6x)] = 10 Reorder the terms: -2[-15 + -4 + 3x + -6x] = 10 Combine like terms: -15 + -4 = -19 -2[-19 + 3x + -6x] = 10 Combine like terms: 3x + -6x = -3x -2[-19 + -3x] = 10 [-19 * -2 + -3x * -2] = 10 [38 + 6x] = 10 Solving 38 + 6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 6x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = 10 + -38 6x = 10 + -38 Combine like terms: 10 + -38 = -28 6x = -28 Divide each side by '6'. x = -4.666666667 Simplifying x = -4.666666667
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