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