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Simplifying 4(x + -4) = 47 + -3x Reorder the terms: 4(-4 + x) = 47 + -3x (-4 * 4 + x * 4) = 47 + -3x (-16 + 4x) = 47 + -3x Solving -16 + 4x = 47 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -16 + 4x + 3x = 47 + -3x + 3x Combine like terms: 4x + 3x = 7x -16 + 7x = 47 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 7x = 47 + 0 -16 + 7x = 47 Add '16' to each side of the equation. -16 + 16 + 7x = 47 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 47 + 16 7x = 47 + 16 Combine like terms: 47 + 16 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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