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Simplifying 5(2x + 3) = 41 + -2(4x + -5) Reorder the terms: 5(3 + 2x) = 41 + -2(4x + -5) (3 * 5 + 2x * 5) = 41 + -2(4x + -5) (15 + 10x) = 41 + -2(4x + -5) Reorder the terms: 15 + 10x = 41 + -2(-5 + 4x) 15 + 10x = 41 + (-5 * -2 + 4x * -2) 15 + 10x = 41 + (10 + -8x) Combine like terms: 41 + 10 = 51 15 + 10x = 51 + -8x Solving 15 + 10x = 51 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + 10x + 8x = 51 + -8x + 8x Combine like terms: 10x + 8x = 18x 15 + 18x = 51 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 18x = 51 + 0 15 + 18x = 51 Add '-15' to each side of the equation. 15 + -15 + 18x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 18x = 51 + -15 18x = 51 + -15 Combine like terms: 51 + -15 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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