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Simplifying 7(2 + x) + -3(x + 4) = 12 (2 * 7 + x * 7) + -3(x + 4) = 12 (14 + 7x) + -3(x + 4) = 12 Reorder the terms: 14 + 7x + -3(4 + x) = 12 14 + 7x + (4 * -3 + x * -3) = 12 14 + 7x + (-12 + -3x) = 12 Reorder the terms: 14 + -12 + 7x + -3x = 12 Combine like terms: 14 + -12 = 2 2 + 7x + -3x = 12 Combine like terms: 7x + -3x = 4x 2 + 4x = 12 Solving 2 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 12 + -2 4x = 12 + -2 Combine like terms: 12 + -2 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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