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Simplifying 4x + -2 = 7x + -1(x + 3) + (-1x + -6) Reorder the terms: -2 + 4x = 7x + -1(x + 3) + (-1x + -6) Reorder the terms: -2 + 4x = 7x + -1(3 + x) + (-1x + -6) -2 + 4x = 7x + (3 * -1 + x * -1) + (-1x + -6) -2 + 4x = 7x + (-3 + -1x) + (-1x + -6) Reorder the terms: -2 + 4x = 7x + -3 + -1x + (-6 + -1x) Remove parenthesis around (-6 + -1x) -2 + 4x = 7x + -3 + -1x + -6 + -1x Reorder the terms: -2 + 4x = -3 + -6 + 7x + -1x + -1x Combine like terms: -3 + -6 = -9 -2 + 4x = -9 + 7x + -1x + -1x Combine like terms: 7x + -1x = 6x -2 + 4x = -9 + 6x + -1x Combine like terms: 6x + -1x = 5x -2 + 4x = -9 + 5x Solving -2 + 4x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 4x + -5x = -9 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x = -9 + 0 -2 + -1x = -9 Add '2' to each side of the equation. -2 + 2 + -1x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -9 + 2 -1x = -9 + 2 Combine like terms: -9 + 2 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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