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