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Simplifying -0.50(-2x + -4) + -0.75(4x + -8) + -1[2(-3x + -1) + -5x] = 0 Reorder the terms: -0.50(-4 + -2x) + -0.75(4x + -8) + -1[2(-3x + -1) + -5x] = 0 (-4 * -0.50 + -2x * -0.50) + -0.75(4x + -8) + -1[2(-3x + -1) + -5x] = 0 (2 + 1x) + -0.75(4x + -8) + -1[2(-3x + -1) + -5x] = 0 Reorder the terms: 2 + 1x + -0.75(-8 + 4x) + -1[2(-3x + -1) + -5x] = 0 2 + 1x + (-8 * -0.75 + 4x * -0.75) + -1[2(-3x + -1) + -5x] = 0 2 + 1x + (6 + -3x) + -1[2(-3x + -1) + -5x] = 0 Reorder the terms: 2 + 1x + 6 + -3x + -1[2(-1 + -3x) + -5x] = 0 2 + 1x + 6 + -3x + -1[(-1 * 2 + -3x * 2) + -5x] = 0 2 + 1x + 6 + -3x + -1[(-2 + -6x) + -5x] = 0 Combine like terms: -6x + -5x = -11x 2 + 1x + 6 + -3x + -1[-2 + -11x] = 0 2 + 1x + 6 + -3x + [-2 * -1 + -11x * -1] = 0 2 + 1x + 6 + -3x + [2 + 11x] = 0 Reorder the terms: 2 + 6 + 2 + 1x + -3x + 11x = 0 Combine like terms: 2 + 6 = 8 8 + 2 + 1x + -3x + 11x = 0 Combine like terms: 8 + 2 = 10 10 + 1x + -3x + 11x = 0 Combine like terms: 1x + -3x = -2x 10 + -2x + 11x = 0 Combine like terms: -2x + 11x = 9x 10 + 9x = 0 Solving 10 + 9x = 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 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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