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Simplifying 4 + -3(2 + -0.5x) + -2.5x = 3(2 + -4x) + 2(4x + -4) 4 + (2 * -3 + -0.5x * -3) + -2.5x = 3(2 + -4x) + 2(4x + -4) 4 + (-6 + 1.5x) + -2.5x = 3(2 + -4x) + 2(4x + -4) Combine like terms: 4 + -6 = -2 -2 + 1.5x + -2.5x = 3(2 + -4x) + 2(4x + -4) Combine like terms: 1.5x + -2.5x = -1x -2 + -1x = 3(2 + -4x) + 2(4x + -4) -2 + -1x = (2 * 3 + -4x * 3) + 2(4x + -4) -2 + -1x = (6 + -12x) + 2(4x + -4) Reorder the terms: -2 + -1x = 6 + -12x + 2(-4 + 4x) -2 + -1x = 6 + -12x + (-4 * 2 + 4x * 2) -2 + -1x = 6 + -12x + (-8 + 8x) Reorder the terms: -2 + -1x = 6 + -8 + -12x + 8x Combine like terms: 6 + -8 = -2 -2 + -1x = -2 + -12x + 8x Combine like terms: -12x + 8x = -4x -2 + -1x = -2 + -4x Add '2' to each side of the equation. -2 + 2 + -1x = -2 + 2 + -4x Combine like terms: -2 + 2 = 0 0 + -1x = -2 + 2 + -4x -1x = -2 + 2 + -4x Combine like terms: -2 + 2 = 0 -1x = 0 + -4x -1x = -4x Solving -1x = -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. -1x + 4x = -4x + 4x Combine like terms: -1x + 4x = 3x 3x = -4x + 4x Combine like terms: -4x + 4x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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