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Simplifying 4(x + 6) + 5 = 65 + -3(x + 5) Reorder the terms: 4(6 + x) + 5 = 65 + -3(x + 5) (6 * 4 + x * 4) + 5 = 65 + -3(x + 5) (24 + 4x) + 5 = 65 + -3(x + 5) Reorder the terms: 24 + 5 + 4x = 65 + -3(x + 5) Combine like terms: 24 + 5 = 29 29 + 4x = 65 + -3(x + 5) Reorder the terms: 29 + 4x = 65 + -3(5 + x) 29 + 4x = 65 + (5 * -3 + x * -3) 29 + 4x = 65 + (-15 + -3x) Combine like terms: 65 + -15 = 50 29 + 4x = 50 + -3x Solving 29 + 4x = 50 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 29 + 4x + 3x = 50 + -3x + 3x Combine like terms: 4x + 3x = 7x 29 + 7x = 50 + -3x + 3x Combine like terms: -3x + 3x = 0 29 + 7x = 50 + 0 29 + 7x = 50 Add '-29' to each side of the equation. 29 + -29 + 7x = 50 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 50 + -29 7x = 50 + -29 Combine like terms: 50 + -29 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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