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Simplifying 5x + 21 = -4(x + -7) Reorder the terms: 21 + 5x = -4(x + -7) Reorder the terms: 21 + 5x = -4(-7 + x) 21 + 5x = (-7 * -4 + x * -4) 21 + 5x = (28 + -4x) Solving 21 + 5x = 28 + -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. 21 + 5x + 4x = 28 + -4x + 4x Combine like terms: 5x + 4x = 9x 21 + 9x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 9x = 28 + 0 21 + 9x = 28 Add '-21' to each side of the equation. 21 + -21 + 9x = 28 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 28 + -21 9x = 28 + -21 Combine like terms: 28 + -21 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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