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Simplifying x + 3(x + 1) = -3x + 24 Reorder the terms: x + 3(1 + x) = -3x + 24 x + (1 * 3 + x * 3) = -3x + 24 x + (3 + 3x) = -3x + 24 Reorder the terms: 3 + x + 3x = -3x + 24 Combine like terms: x + 3x = 4x 3 + 4x = -3x + 24 Reorder the terms: 3 + 4x = 24 + -3x Solving 3 + 4x = 24 + -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. 3 + 4x + 3x = 24 + -3x + 3x Combine like terms: 4x + 3x = 7x 3 + 7x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 7x = 24 + 0 3 + 7x = 24 Add '-3' to each side of the equation. 3 + -3 + 7x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 24 + -3 7x = 24 + -3 Combine like terms: 24 + -3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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