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Simplifying 4(x + 2) + -3(x + 1) = 12 Reorder the terms: 4(2 + x) + -3(x + 1) = 12 (2 * 4 + x * 4) + -3(x + 1) = 12 (8 + 4x) + -3(x + 1) = 12 Reorder the terms: 8 + 4x + -3(1 + x) = 12 8 + 4x + (1 * -3 + x * -3) = 12 8 + 4x + (-3 + -3x) = 12 Reorder the terms: 8 + -3 + 4x + -3x = 12 Combine like terms: 8 + -3 = 5 5 + 4x + -3x = 12 Combine like terms: 4x + -3x = 1x 5 + 1x = 12 Solving 5 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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