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Simplifying 3(x + 1) + 4(x + -3) = 12 Reorder the terms: 3(1 + x) + 4(x + -3) = 12 (1 * 3 + x * 3) + 4(x + -3) = 12 (3 + 3x) + 4(x + -3) = 12 Reorder the terms: 3 + 3x + 4(-3 + x) = 12 3 + 3x + (-3 * 4 + x * 4) = 12 3 + 3x + (-12 + 4x) = 12 Reorder the terms: 3 + -12 + 3x + 4x = 12 Combine like terms: 3 + -12 = -9 -9 + 3x + 4x = 12 Combine like terms: 3x + 4x = 7x -9 + 7x = 12 Solving -9 + 7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 12 + 9 7x = 12 + 9 Combine like terms: 12 + 9 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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