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Simplifying 2(2x + -5) + -3(4 + -1x) = 4(3x + -5) + -2 Reorder the terms: 2(-5 + 2x) + -3(4 + -1x) = 4(3x + -5) + -2 (-5 * 2 + 2x * 2) + -3(4 + -1x) = 4(3x + -5) + -2 (-10 + 4x) + -3(4 + -1x) = 4(3x + -5) + -2 -10 + 4x + (4 * -3 + -1x * -3) = 4(3x + -5) + -2 -10 + 4x + (-12 + 3x) = 4(3x + -5) + -2 Reorder the terms: -10 + -12 + 4x + 3x = 4(3x + -5) + -2 Combine like terms: -10 + -12 = -22 -22 + 4x + 3x = 4(3x + -5) + -2 Combine like terms: 4x + 3x = 7x -22 + 7x = 4(3x + -5) + -2 Reorder the terms: -22 + 7x = 4(-5 + 3x) + -2 -22 + 7x = (-5 * 4 + 3x * 4) + -2 -22 + 7x = (-20 + 12x) + -2 Reorder the terms: -22 + 7x = -20 + -2 + 12x Combine like terms: -20 + -2 = -22 -22 + 7x = -22 + 12x Add '22' to each side of the equation. -22 + 22 + 7x = -22 + 22 + 12x Combine like terms: -22 + 22 = 0 0 + 7x = -22 + 22 + 12x 7x = -22 + 22 + 12x Combine like terms: -22 + 22 = 0 7x = 0 + 12x 7x = 12x Solving 7x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7x + -12x = 12x + -12x Combine like terms: 7x + -12x = -5x -5x = 12x + -12x Combine like terms: 12x + -12x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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