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Simplifying 7(x + -7) + 21 = 5(x + -4) Reorder the terms: 7(-7 + x) + 21 = 5(x + -4) (-7 * 7 + x * 7) + 21 = 5(x + -4) (-49 + 7x) + 21 = 5(x + -4) Reorder the terms: -49 + 21 + 7x = 5(x + -4) Combine like terms: -49 + 21 = -28 -28 + 7x = 5(x + -4) Reorder the terms: -28 + 7x = 5(-4 + x) -28 + 7x = (-4 * 5 + x * 5) -28 + 7x = (-20 + 5x) Solving -28 + 7x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + 7x + -5x = -20 + 5x + -5x Combine like terms: 7x + -5x = 2x -28 + 2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 2x = -20 + 0 -28 + 2x = -20 Add '28' to each side of the equation. -28 + 28 + 2x = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -20 + 28 2x = -20 + 28 Combine like terms: -20 + 28 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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