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Simplifying -0.25(16 + -20x) = 2(x + -3) + 4(x + -8) (16 * -0.25 + -20x * -0.25) = 2(x + -3) + 4(x + -8) (-4 + 5x) = 2(x + -3) + 4(x + -8) Reorder the terms: -4 + 5x = 2(-3 + x) + 4(x + -8) -4 + 5x = (-3 * 2 + x * 2) + 4(x + -8) -4 + 5x = (-6 + 2x) + 4(x + -8) Reorder the terms: -4 + 5x = -6 + 2x + 4(-8 + x) -4 + 5x = -6 + 2x + (-8 * 4 + x * 4) -4 + 5x = -6 + 2x + (-32 + 4x) Reorder the terms: -4 + 5x = -6 + -32 + 2x + 4x Combine like terms: -6 + -32 = -38 -4 + 5x = -38 + 2x + 4x Combine like terms: 2x + 4x = 6x -4 + 5x = -38 + 6x Solving -4 + 5x = -38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 5x + -6x = -38 + 6x + -6x Combine like terms: 5x + -6x = -1x -4 + -1x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -1x = -38 + 0 -4 + -1x = -38 Add '4' to each side of the equation. -4 + 4 + -1x = -38 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -38 + 4 -1x = -38 + 4 Combine like terms: -38 + 4 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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