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Simplifying 5(2x + 5) + -21 = 7x + -8 Reorder the terms: 5(5 + 2x) + -21 = 7x + -8 (5 * 5 + 2x * 5) + -21 = 7x + -8 (25 + 10x) + -21 = 7x + -8 Reorder the terms: 25 + -21 + 10x = 7x + -8 Combine like terms: 25 + -21 = 4 4 + 10x = 7x + -8 Reorder the terms: 4 + 10x = -8 + 7x Solving 4 + 10x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 10x + -7x = -8 + 7x + -7x Combine like terms: 10x + -7x = 3x 4 + 3x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 3x = -8 + 0 4 + 3x = -8 Add '-4' to each side of the equation. 4 + -4 + 3x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -8 + -4 3x = -8 + -4 Combine like terms: -8 + -4 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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