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Simplifying -5[3x + -2(x + 3) + 5] + 3(x + -5) = 0 Reorder the terms: -5[3x + -2(3 + x) + 5] + 3(x + -5) = 0 -5[3x + (3 * -2 + x * -2) + 5] + 3(x + -5) = 0 -5[3x + (-6 + -2x) + 5] + 3(x + -5) = 0 Reorder the terms: -5[-6 + 5 + 3x + -2x] + 3(x + -5) = 0 Combine like terms: -6 + 5 = -1 -5[-1 + 3x + -2x] + 3(x + -5) = 0 Combine like terms: 3x + -2x = 1x -5[-1 + 1x] + 3(x + -5) = 0 [-1 * -5 + 1x * -5] + 3(x + -5) = 0 [5 + -5x] + 3(x + -5) = 0 Reorder the terms: 5 + -5x + 3(-5 + x) = 0 5 + -5x + (-5 * 3 + x * 3) = 0 5 + -5x + (-15 + 3x) = 0 Reorder the terms: 5 + -15 + -5x + 3x = 0 Combine like terms: 5 + -15 = -10 -10 + -5x + 3x = 0 Combine like terms: -5x + 3x = -2x -10 + -2x = 0 Solving -10 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 0 + 10 -2x = 0 + 10 Combine like terms: 0 + 10 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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