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Simplifying 5x + -3(4x + -1) = 7 + -2(7x + 2) Reorder the terms: 5x + -3(-1 + 4x) = 7 + -2(7x + 2) 5x + (-1 * -3 + 4x * -3) = 7 + -2(7x + 2) 5x + (3 + -12x) = 7 + -2(7x + 2) Reorder the terms: 3 + 5x + -12x = 7 + -2(7x + 2) Combine like terms: 5x + -12x = -7x 3 + -7x = 7 + -2(7x + 2) Reorder the terms: 3 + -7x = 7 + -2(2 + 7x) 3 + -7x = 7 + (2 * -2 + 7x * -2) 3 + -7x = 7 + (-4 + -14x) Combine like terms: 7 + -4 = 3 3 + -7x = 3 + -14x Add '-3' to each side of the equation. 3 + -3 + -7x = 3 + -3 + -14x Combine like terms: 3 + -3 = 0 0 + -7x = 3 + -3 + -14x -7x = 3 + -3 + -14x Combine like terms: 3 + -3 = 0 -7x = 0 + -14x -7x = -14x Solving -7x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -7x + 14x = -14x + 14x Combine like terms: -7x + 14x = 7x 7x = -14x + 14x Combine like terms: -14x + 14x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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