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Simplifying 2.5(2x + -4) = 4(x + -4) + 4 Reorder the terms: 2.5(-4 + 2x) = 4(x + -4) + 4 (-4 * 2.5 + 2x * 2.5) = 4(x + -4) + 4 (-10 + 5x) = 4(x + -4) + 4 Reorder the terms: -10 + 5x = 4(-4 + x) + 4 -10 + 5x = (-4 * 4 + x * 4) + 4 -10 + 5x = (-16 + 4x) + 4 Reorder the terms: -10 + 5x = -16 + 4 + 4x Combine like terms: -16 + 4 = -12 -10 + 5x = -12 + 4x Solving -10 + 5x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x -10 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 1x = -12 + 0 -10 + 1x = -12 Add '10' to each side of the equation. -10 + 10 + 1x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -12 + 10 1x = -12 + 10 Combine like terms: -12 + 10 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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