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Simplifying -8x + 21 = 2(-5x + 18) Reorder the terms: 21 + -8x = 2(-5x + 18) Reorder the terms: 21 + -8x = 2(18 + -5x) 21 + -8x = (18 * 2 + -5x * 2) 21 + -8x = (36 + -10x) Solving 21 + -8x = 36 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 21 + -8x + 10x = 36 + -10x + 10x Combine like terms: -8x + 10x = 2x 21 + 2x = 36 + -10x + 10x Combine like terms: -10x + 10x = 0 21 + 2x = 36 + 0 21 + 2x = 36 Add '-21' to each side of the equation. 21 + -21 + 2x = 36 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 36 + -21 2x = 36 + -21 Combine like terms: 36 + -21 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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