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Simplifying 7(x + 1) + -3(x + 4) = 31 Reorder the terms: 7(1 + x) + -3(x + 4) = 31 (1 * 7 + x * 7) + -3(x + 4) = 31 (7 + 7x) + -3(x + 4) = 31 Reorder the terms: 7 + 7x + -3(4 + x) = 31 7 + 7x + (4 * -3 + x * -3) = 31 7 + 7x + (-12 + -3x) = 31 Reorder the terms: 7 + -12 + 7x + -3x = 31 Combine like terms: 7 + -12 = -5 -5 + 7x + -3x = 31 Combine like terms: 7x + -3x = 4x -5 + 4x = 31 Solving -5 + 4x = 31 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 + 4x = 31 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 31 + 5 4x = 31 + 5 Combine like terms: 31 + 5 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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