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Simplifying 2.5(2x + -4) = 4(4x + -4) + x Reorder the terms: 2.5(-4 + 2x) = 4(4x + -4) + x (-4 * 2.5 + 2x * 2.5) = 4(4x + -4) + x (-10 + 5x) = 4(4x + -4) + x Reorder the terms: -10 + 5x = 4(-4 + 4x) + x -10 + 5x = (-4 * 4 + 4x * 4) + x -10 + 5x = (-16 + 16x) + x Combine like terms: 16x + x = 17x -10 + 5x = -16 + 17x Solving -10 + 5x = -16 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -10 + 5x + -17x = -16 + 17x + -17x Combine like terms: 5x + -17x = -12x -10 + -12x = -16 + 17x + -17x Combine like terms: 17x + -17x = 0 -10 + -12x = -16 + 0 -10 + -12x = -16 Add '10' to each side of the equation. -10 + 10 + -12x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = -16 + 10 -12x = -16 + 10 Combine like terms: -16 + 10 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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