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Simplifying 4(x + -4) = 38 + -2x Reorder the terms: 4(-4 + x) = 38 + -2x (-4 * 4 + x * 4) = 38 + -2x (-16 + 4x) = 38 + -2x Solving -16 + 4x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 4x + 2x = 38 + -2x + 2x Combine like terms: 4x + 2x = 6x -16 + 6x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 6x = 38 + 0 -16 + 6x = 38 Add '16' to each side of the equation. -16 + 16 + 6x = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 38 + 16 6x = 38 + 16 Combine like terms: 38 + 16 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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