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Simplifying 10x + -1(3x + -4) = 4(3x + 1) Reorder the terms: 10x + -1(-4 + 3x) = 4(3x + 1) 10x + (-4 * -1 + 3x * -1) = 4(3x + 1) 10x + (4 + -3x) = 4(3x + 1) Reorder the terms: 4 + 10x + -3x = 4(3x + 1) Combine like terms: 10x + -3x = 7x 4 + 7x = 4(3x + 1) Reorder the terms: 4 + 7x = 4(1 + 3x) 4 + 7x = (1 * 4 + 3x * 4) 4 + 7x = (4 + 12x) Add '-4' to each side of the equation. 4 + -4 + 7x = 4 + -4 + 12x Combine like terms: 4 + -4 = 0 0 + 7x = 4 + -4 + 12x 7x = 4 + -4 + 12x Combine like terms: 4 + -4 = 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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