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Simplifying 4(x + 9) + -7(x + -8) = 83 Reorder the terms: 4(9 + x) + -7(x + -8) = 83 (9 * 4 + x * 4) + -7(x + -8) = 83 (36 + 4x) + -7(x + -8) = 83 Reorder the terms: 36 + 4x + -7(-8 + x) = 83 36 + 4x + (-8 * -7 + x * -7) = 83 36 + 4x + (56 + -7x) = 83 Reorder the terms: 36 + 56 + 4x + -7x = 83 Combine like terms: 36 + 56 = 92 92 + 4x + -7x = 83 Combine like terms: 4x + -7x = -3x 92 + -3x = 83 Solving 92 + -3x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + -3x = 83 + -92 Combine like terms: 92 + -92 = 0 0 + -3x = 83 + -92 -3x = 83 + -92 Combine like terms: 83 + -92 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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