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Simplifying 4(x + -4) = 47 + -5x Reorder the terms: 4(-4 + x) = 47 + -5x (-4 * 4 + x * 4) = 47 + -5x (-16 + 4x) = 47 + -5x Solving -16 + 4x = 47 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 4x + 5x = 47 + -5x + 5x Combine like terms: 4x + 5x = 9x -16 + 9x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 9x = 47 + 0 -16 + 9x = 47 Add '16' to each side of the equation. -16 + 16 + 9x = 47 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 47 + 16 9x = 47 + 16 Combine like terms: 47 + 16 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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