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Simplifying 2(x + 4) + -8 = -5(x + -7) + 21 Reorder the terms: 2(4 + x) + -8 = -5(x + -7) + 21 (4 * 2 + x * 2) + -8 = -5(x + -7) + 21 (8 + 2x) + -8 = -5(x + -7) + 21 Reorder the terms: 8 + -8 + 2x = -5(x + -7) + 21 Combine like terms: 8 + -8 = 0 0 + 2x = -5(x + -7) + 21 2x = -5(x + -7) + 21 Reorder the terms: 2x = -5(-7 + x) + 21 2x = (-7 * -5 + x * -5) + 21 2x = (35 + -5x) + 21 Reorder the terms: 2x = 35 + 21 + -5x Combine like terms: 35 + 21 = 56 2x = 56 + -5x Solving 2x = 56 + -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. 2x + 5x = 56 + -5x + 5x Combine like terms: 2x + 5x = 7x 7x = 56 + -5x + 5x Combine like terms: -5x + 5x = 0 7x = 56 + 0 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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