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