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Simplifying -3x + -4 + 2x = (x + -2) + (x + 7) Reorder the terms: -4 + -3x + 2x = (x + -2) + (x + 7) Combine like terms: -3x + 2x = -1x -4 + -1x = (x + -2) + (x + 7) Reorder the terms: -4 + -1x = (-2 + x) + (x + 7) Remove parenthesis around (-2 + x) -4 + -1x = -2 + x + (x + 7) Reorder the terms: -4 + -1x = -2 + x + (7 + x) Remove parenthesis around (7 + x) -4 + -1x = -2 + x + 7 + x Reorder the terms: -4 + -1x = -2 + 7 + x + x Combine like terms: -2 + 7 = 5 -4 + -1x = 5 + x + x Combine like terms: x + x = 2x -4 + -1x = 5 + 2x Solving -4 + -1x = 5 + 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. -4 + -1x + -2x = 5 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = 5 + 0 -4 + -3x = 5 Add '4' to each side of the equation. -4 + 4 + -3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 5 + 4 -3x = 5 + 4 Combine like terms: 5 + 4 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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