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