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Simplifying 3(x + 5) = 21 + -4(x + -5) Reorder the terms: 3(5 + x) = 21 + -4(x + -5) (5 * 3 + x * 3) = 21 + -4(x + -5) (15 + 3x) = 21 + -4(x + -5) Reorder the terms: 15 + 3x = 21 + -4(-5 + x) 15 + 3x = 21 + (-5 * -4 + x * -4) 15 + 3x = 21 + (20 + -4x) Combine like terms: 21 + 20 = 41 15 + 3x = 41 + -4x Solving 15 + 3x = 41 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 3x + 4x = 41 + -4x + 4x Combine like terms: 3x + 4x = 7x 15 + 7x = 41 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 7x = 41 + 0 15 + 7x = 41 Add '-15' to each side of the equation. 15 + -15 + 7x = 41 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 41 + -15 7x = 41 + -15 Combine like terms: 41 + -15 = 26 7x = 26 Divide each side by '7'. x = 3.714285714 Simplifying x = 3.714285714
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