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Simplifying 4(x + 6) = 48 + -3(x + 3) Reorder the terms: 4(6 + x) = 48 + -3(x + 3) (6 * 4 + x * 4) = 48 + -3(x + 3) (24 + 4x) = 48 + -3(x + 3) Reorder the terms: 24 + 4x = 48 + -3(3 + x) 24 + 4x = 48 + (3 * -3 + x * -3) 24 + 4x = 48 + (-9 + -3x) Combine like terms: 48 + -9 = 39 24 + 4x = 39 + -3x Solving 24 + 4x = 39 + -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. 24 + 4x + 3x = 39 + -3x + 3x Combine like terms: 4x + 3x = 7x 24 + 7x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 7x = 39 + 0 24 + 7x = 39 Add '-24' to each side of the equation. 24 + -24 + 7x = 39 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 39 + -24 7x = 39 + -24 Combine like terms: 39 + -24 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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