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Simplifying 7(x + -2) + -8(4 + -3x) = 47 Reorder the terms: 7(-2 + x) + -8(4 + -3x) = 47 (-2 * 7 + x * 7) + -8(4 + -3x) = 47 (-14 + 7x) + -8(4 + -3x) = 47 -14 + 7x + (4 * -8 + -3x * -8) = 47 -14 + 7x + (-32 + 24x) = 47 Reorder the terms: -14 + -32 + 7x + 24x = 47 Combine like terms: -14 + -32 = -46 -46 + 7x + 24x = 47 Combine like terms: 7x + 24x = 31x -46 + 31x = 47 Solving -46 + 31x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 31x = 47 + 46 Combine like terms: -46 + 46 = 0 0 + 31x = 47 + 46 31x = 47 + 46 Combine like terms: 47 + 46 = 93 31x = 93 Divide each side by '31'. x = 3 Simplifying x = 3
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