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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 = 5x -7 + 5x = 5x + -1(x + 21) Reorder the terms: -7 + 5x = 5x + -1(21 + x) -7 + 5x = 5x + (21 * -1 + x * -1) -7 + 5x = 5x + (-21 + -1x) Reorder the terms: -7 + 5x = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x -7 + 5x = -21 + 4x Solving -7 + 5x = -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 + 5x + -4x = -21 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = -21 + 0 -7 + 1x = -21 Add '7' to each side of the equation. -7 + 7 + 1x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -21 + 7 1x = -21 + 7 Combine like terms: -21 + 7 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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