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Simplifying 8 + -3[2x + -3(x + -2) + 5] + -2(4x + -5) = 0 Reorder the terms: 8 + -3[2x + -3(-2 + x) + 5] + -2(4x + -5) = 0 8 + -3[2x + (-2 * -3 + x * -3) + 5] + -2(4x + -5) = 0 8 + -3[2x + (6 + -3x) + 5] + -2(4x + -5) = 0 Reorder the terms: 8 + -3[6 + 5 + 2x + -3x] + -2(4x + -5) = 0 Combine like terms: 6 + 5 = 11 8 + -3[11 + 2x + -3x] + -2(4x + -5) = 0 Combine like terms: 2x + -3x = -1x 8 + -3[11 + -1x] + -2(4x + -5) = 0 8 + [11 * -3 + -1x * -3] + -2(4x + -5) = 0 8 + [-33 + 3x] + -2(4x + -5) = 0 Reorder the terms: 8 + -33 + 3x + -2(-5 + 4x) = 0 8 + -33 + 3x + (-5 * -2 + 4x * -2) = 0 8 + -33 + 3x + (10 + -8x) = 0 Reorder the terms: 8 + -33 + 10 + 3x + -8x = 0 Combine like terms: 8 + -33 = -25 -25 + 10 + 3x + -8x = 0 Combine like terms: -25 + 10 = -15 -15 + 3x + -8x = 0 Combine like terms: 3x + -8x = -5x -15 + -5x = 0 Solving -15 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 0 + 15 -5x = 0 + 15 Combine like terms: 0 + 15 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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