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Simplifying x + -1(4x + 7) = 5x + -1(x + 21) Reorder the terms: x + -1(7 + 4x) = 5x + -1(x + 21) x + (7 * -1 + 4x * -1) = 5x + -1(x + 21) x + (-7 + -4x) = 5x + -1(x + 21) Reorder the terms: -7 + x + -4x = 5x + -1(x + 21) Combine like terms: x + -4x = -3x -7 + -3x = 5x + -1(x + 21) Reorder the terms: -7 + -3x = 5x + -1(21 + x) -7 + -3x = 5x + (21 * -1 + x * -1) -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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