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Simplifying -4(x + 8) + 3x = 47 Reorder the terms: -4(8 + x) + 3x = 47 (8 * -4 + x * -4) + 3x = 47 (-32 + -4x) + 3x = 47 Combine like terms: -4x + 3x = -1x -32 + -1x = 47 Solving -32 + -1x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1x = 47 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 47 + 32 -1x = 47 + 32 Combine like terms: 47 + 32 = 79 -1x = 79 Divide each side by '-1'. x = -79 Simplifying x = -79
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