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Simplifying -2(3x + -4) + -6(0.25x + -0.5x) = 0.25(-8 + 2x) Reorder the terms: -2(-4 + 3x) + -6(0.25x + -0.5x) = 0.25(-8 + 2x) (-4 * -2 + 3x * -2) + -6(0.25x + -0.5x) = 0.25(-8 + 2x) (8 + -6x) + -6(0.25x + -0.5x) = 0.25(-8 + 2x) Combine like terms: 0.25x + -0.5x = -0.25x 8 + -6x + -6(-0.25x) = 0.25(-8 + 2x) Remove parenthesis around (-0.25x) 8 + -6x + -6 * -0.25x = 0.25(-8 + 2x) Multiply -6 * -0.25 8 + -6x + 1.5x = 0.25(-8 + 2x) Combine like terms: -6x + 1.5x = -4.5x 8 + -4.5x = 0.25(-8 + 2x) 8 + -4.5x = (-8 * 0.25 + 2x * 0.25) 8 + -4.5x = (-2 + 0.5x) Solving 8 + -4.5x = -2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 8 + -4.5x + -0.5x = -2 + 0.5x + -0.5x Combine like terms: -4.5x + -0.5x = -5x 8 + -5x = -2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + -5x = -2 + 0.0 8 + -5x = -2 Add '-8' to each side of the equation. 8 + -8 + -5x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -2 + -8 -5x = -2 + -8 Combine like terms: -2 + -8 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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