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Simplifying 4(x + 4) + -3(x + 5) = 2 Reorder the terms: 4(4 + x) + -3(x + 5) = 2 (4 * 4 + x * 4) + -3(x + 5) = 2 (16 + 4x) + -3(x + 5) = 2 Reorder the terms: 16 + 4x + -3(5 + x) = 2 16 + 4x + (5 * -3 + x * -3) = 2 16 + 4x + (-15 + -3x) = 2 Reorder the terms: 16 + -15 + 4x + -3x = 2 Combine like terms: 16 + -15 = 1 1 + 4x + -3x = 2 Combine like terms: 4x + -3x = 1x 1 + 1x = 2 Solving 1 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 2 + -1 1x = 2 + -1 Combine like terms: 2 + -1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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