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Simplifying 4x + -1(3x + 2) = 7x + -2 Reorder the terms: 4x + -1(2 + 3x) = 7x + -2 4x + (2 * -1 + 3x * -1) = 7x + -2 4x + (-2 + -3x) = 7x + -2 Reorder the terms: -2 + 4x + -3x = 7x + -2 Combine like terms: 4x + -3x = 1x -2 + 1x = 7x + -2 Reorder the terms: -2 + 1x = -2 + 7x Add '2' to each side of the equation. -2 + 2 + 1x = -2 + 2 + 7x Combine like terms: -2 + 2 = 0 0 + 1x = -2 + 2 + 7x 1x = -2 + 2 + 7x Combine like terms: -2 + 2 = 0 1x = 0 + 7x 1x = 7x Solving 1x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1x + -7x = 7x + -7x Combine like terms: 1x + -7x = -6x -6x = 7x + -7x Combine like terms: 7x + -7x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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