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Simplifying x + (-4x + -7) = 5x + (-1x + -21) Reorder the terms: x + (-7 + -4x) = 5x + (-1x + -21) Remove parenthesis around (-7 + -4x) x + -7 + -4x = 5x + (-1x + -21) Reorder the terms: -7 + x + -4x = 5x + (-1x + -21) Combine like terms: x + -4x = -3x -7 + -3x = 5x + (-1x + -21) Reorder the terms: -7 + -3x = 5x + (-21 + -1x) Remove parenthesis around (-21 + -1x) -7 + -3x = 5x + -21 + -1x Reorder the terms: -7 + -3x = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x -7 + -3x = -21 + 4x Solving -7 + -3x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + -3x + -4x = -21 + 4x + -4x Combine like terms: -3x + -4x = -7x -7 + -7x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -7x = -21 + 0 -7 + -7x = -21 Add '7' to each side of the equation. -7 + 7 + -7x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -21 + 7 -7x = -21 + 7 Combine like terms: -21 + 7 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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